Commenting and Liking our Slideshow will help us a lot! Please support us by doing so.
This slideshow will show you how to perform Special Products using:
* Square of a Binomial
* Square of a Trinomial
* Product of Sum and Difference of Two Terms
* Product of a Binomial and Trinomial
* Cube of a Binomial
Mathematics 9 Lesson 1-C: Roots and Coefficients of Quadratic EquationsJuan Miguel Palero
This powerpoint presentation discusses or talks about the topic or lesson Roots and Coefficients of Quadratic Equations. It also discusses and explains the rules, steps and examples of Roots and Coefficients of Quadratic Equations
Mathematics 9 Lesson 1-B: Solving Quadratic Equations using Quadratic FormulaJuan Miguel Palero
This powerpoint presentation discusses or talks about the topic or lesson Solving Quadratic Equations using the Quadratic Formula. It also discusses the steps in solving quadratic equations using the method of Quadratic Formula.
Mathematics 9 Lesson 1-C: Roots and Coefficients of Quadratic EquationsJuan Miguel Palero
This powerpoint presentation discusses or talks about the topic or lesson Roots and Coefficients of Quadratic Equations. It also discusses and explains the rules, steps and examples of Roots and Coefficients of Quadratic Equations
Mathematics 9 Lesson 1-B: Solving Quadratic Equations using Quadratic FormulaJuan Miguel Palero
This powerpoint presentation discusses or talks about the topic or lesson Solving Quadratic Equations using the Quadratic Formula. It also discusses the steps in solving quadratic equations using the method of Quadratic Formula.
This powerpoint presentation discusses about the first lesson in Grade 10 Math. It is all about Number Pattern. It also shows the definition, examples and how to find the nth term and general formula.
This powerpoint presentation discusses about the first lesson in Grade 10 Math. It is all about Number Pattern. It also shows the definition, examples and how to find the nth term and general formula.
Happy Math Humans (group h) of 8 - St. Basil
3 students of 8 - St. Basil representing the group Happy Math Humans, will show you how to factor different types of polynomials.
Second Quarter Group F Math Peta - Factoring (GCMF, DTS, STC, DTC, PST, QT1, ...GroupFMathPeta
Commenting and Liking our Slideshow will help us a lot! Please support us by doing so.
This slideshow will show you how to factor polynomials using:
* Greatest Common Monomial Factor
* Difference of Two Squares
* Sum of Two Cubes
* Difference of Two Cubes
* Perfect Square Trinomials
* Quadratic Trinomial 1 (where a > 1 and c is positive)
* Quadratic Trinomial 2 (where a > 1 and c is negative)
* General Quadratic Trinomial
* Factor by Grouping
* Factoring Completely.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Normal Labour/ Stages of Labour/ Mechanism of LabourWasim Ak
Normal labor is also termed spontaneous labor, defined as the natural physiological process through which the fetus, placenta, and membranes are expelled from the uterus through the birth canal at term (37 to 42 weeks
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
2. Group Name: Factoring
Second Quarter Grade 8 Mathematics Performance Task Special Products 2
JUSTIN BACON
RAFAEL BIAG
DANIEL PAUL PEREZ
3. Justin Bacon
Second Quarter Grade 8 Mathematics Performance Task Special Products 3
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
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Binomial
4. Name:
SQUARE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
4
5. Name:
SQUARE OF A BINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
5
6. Name:
SQUARE OF A BINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
6
Dale drew a square with a side of (2x+1). Calculate for the area of the
square.
Given: (2x+1)
Formula: s^2 (Perform Square of a Binomial)
Solution: (2x+1)^2
(2x)^2+2(2x)(1)+(1)^2
Final Answer: 4x^2+4x+1
7. Name:
Product of Sum and Difference of Two
Terms
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
7
8. Name:
Product of Sum and Difference of Two
Terms
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
8
9. Name:
Product of Sum and Difference of Two
Terms
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
9
Given: [7+(x+y)][7-(x+y)]
Solution:
1. 7^2= 49
2. + (x+y)^2= x^2+2xy+y^2
Final Answer: 49+x^2+2xy+y^2
10. Name:
SQUARE OF A TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
10
11. Name:
SQUARE OF A TRINOMIAL
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
11
12. Name:
SQUARE OF A TRINOMIAL
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
12
13. Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
13
14. Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
14
15. Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
15
16. Name:
CUBE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products
16
17. Name:
CUBE OF A BINOMIAL
● AVERAGE QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
17
18. Name:
CUBE OF A BINOMIAL
● CHALLENGING QUESTION:
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special Products
18
19. Rafael Biag
Second Quarter Grade 8 Mathematics Performance Task Special Products 19
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
20. Name:
SQUARE OF A BINOMIAL
○ EASY QUESTION:(y+ x)2 = y2 + 2yx + x2
1. The square of the first term of the binomial: y2
2. Twice the product of the two terms: 2yx
3. The square of the second term: x2
FINAL ANSWER:
y2 + 2yx + x2
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21. Name:
SQUARE OF A BINOMIAL
○ AVERAGE QUESTIOn (6x2 + 5a)2
○ SOLUTION:
(6x2)2 + 2(6x2) (5a)+ (5a)2 36x4 +60x2a +25a2
1. The square of the first term of the binomial
2. Twice the product of the two terms
3. The square of the second term
○
○
○
○
○
○
○
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SDTT
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Binomial
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21
22. Name:
SQUARE OF A BINOMIAL
○ CHALLENGING QUESTION:(11n + 10m2)2
○ SOLUTION:
○ = (11n)2 +2(11n)(10m)+(10m2)2 = 121n2
+220nm+100m
1. The square of the first term of the binomial
2. Twice the product of the two terms
3. The square of the second term
○○○
○
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a Binomial
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a
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Binomial
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22
23. Name:
Product of Sum and Difference of Two
Terms
○ EASY QUESTION:(y – 4)(y + 4)
1. The First term (y) squared is y2.
2. The second term will always be negative, and a perfect
square like the first term: (–4)(+4) = –16
FINAL ANSWER:
y2 - 16
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SDTT
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23
24. Name:
Product of Sum and Difference of Two
Terms
○ AVERAGE QUESTION:(xy – 5)(xy+ 5)
○ SOLUTION:
1. The square of xy = (xy)2 = x2 y2
2. The second term is negative, and a perfect square like the
first term: 5 = –25.
FINAL ANSWER:
x2 y2 - 25
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Second Quarter Grade 8 Mathematics Performance
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24
25. Name:
Product of Sum and Difference of Two
Terms
○ CHALLENGING QUESTION:5 + (b – a)][5 – (b– a)]
○SOLUTION:
1. The square of 5 = 25
2. The second term is negative, and a perfect square like the first term:
(b - a) = - (b - a)2
3. Square the binomial and distribute the negative sign, which looks like this:
- (b2 - 2ba + a2) = - b2 + 2ba - a2
FINAL ANSWER:
25 - b2 + 2ba - a2
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Second Quarter Grade 8 Mathematics Performance
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25
26. Name:
SQUARE OF A TRINOMIAL
○ EASY QUESTION:6x2 - x - 2
find two numbers whose sum is the coefficient of the second term and whose product is
equal to the product of the third term and the coefficient of the first term ( (6)(-2) or -12).
By inspection, the desired numbers are found to be -4 and +3. Using these two
numbers as coefficients for x, we can rewrite the original expression as 6x2 - 4x + 3x - 2
FINAL ANSWER:
(2x + 1)(3x - 2)
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a Binomial
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SDTT
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Second Quarter Grade 8 Mathematics Performance
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26
27. Name:
SQUARE OF A TRINOMIAL
○ AVERAGE QUESTION:16x2 - 8xy + y2
To factor the trinomial, we simply take the square roots of the end
terms and join them with a plus sign if the middle term is
preceded by a plus or with a minus if the middle term is preceded
by a minus.
FINAL ANSWER:
(4x - y)2
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a Binomial
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a
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SDTT
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and a
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Second Quarter Grade 8 Mathematics Performance
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27
28. Name:
SQUARE OF A TRINOMIAL
○ CHALLENGING QUESTION: (0.5y²+1.2x²+1.5)²
○ SOLUTION:
○(0.5y²)²+(1.2x²)²+(1.5)²+2(0.5y²)(1.2x²)+2(0.5y²)(1.5)+2(1.2x²)(1.5)
FINAL ANSWER:
0.25Y⁴+1.44X⁴+2.25²+1.2Y²X²+1.5Y²+3.6X²
Square of
a Binomial
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a
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SDTT
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and a
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Second Quarter Grade 8 Mathematics Performance
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28
29. Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ EASY QUESTION:(x−1)(x2−2x+1)
○ SOLUTION:
○ (x−1)(x2−2x+1)=x(x2−2x+1)−1(x2−2x+1)=x3−2x2+x−x2+2x−1
FINAL ANSWER:
x3−3x2+3x−1
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a Binomial
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a
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SDTT
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a
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and a
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Binomial
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Second Quarter Grade 8 Mathematics Performance
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29
30. Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ AVERAGE QUESTION:(2x + y)(4x^2 - 2xy + 4y^2)
FINAL ANSWER:
8^3 + y^3
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a Binomial
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a
Trinomial
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SDTT
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a
Binomial
and a
Trinomial
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Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
Task Special Products
30
31. Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ CHALLENGING QUESTION:(a + b)(a - ab + b^2)
FINAL ANSWER:
a^3 + b^3
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a Binomial
Square of
a
Trinomial
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SDTT
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a
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and a
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Second Quarter Grade 8 Mathematics Performance
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31
32. Name:
CUBE OF A BINOMIAL
○ EASY QUESTION:(a + b)3
○ SOLUTION:
○ = a3 + 3a2b + 3ab2 + b3
FINAL ANSWER:
= a3 + 3ab (a + b) + b3
Square of
a Binomial
Square of
a
Trinomial
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SDTT
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a
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and a
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Second Quarter Grade 8 Mathematics Performance
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32
33. Name:
CUBE OF A BINOMIAL
○ AVERAGE QUESTION:(2 – 3x)3 – (5 + 3x)3
○ SOLUTION:
○ = {23 - 3.22.(3x) + 3.2.(3x)2 - (3x)3} – {53 + 3.52.(3x) + 3.5.(3x)2 +
(3x)3}
○ = {8 – 36x + 54 x2 - 27 x3} – {125 + 225x + 135x2 + 27 x3}
○ = 8 – 36x + 54 x2 - 27 x3 – 125 - 225x - 135x2 - 27 x3
○ = 8 – 125 – 36x - 225x + 54 x2 - 135x2 - 27 x3 - 27 x3
○ = -117 – 261x - 81 x2 - 54 x3
FINAL ANSWER:
-117 – 261x - 81 x2 - 54 x3
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a Binomial
Square of
a
Trinomial
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SDTT
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a
Binomial
and a
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Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
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33
34. Name:
CUBE OF A BINOMIAL
○ CHALLENGING QUESTION:(5m + 2n)3 - (5m – 2n)3
○ SOLUTION:
= {(5m)3 + 3.(5m)2. (2n) + 3. (5m). (2n)2 + (2n)3} – {(5m)3 - 3.(5m)2. (2n) + 3. (5m). (2n)2 -
(2n)3}
= {125 m3 + 150 m2 n + 60 m n2 + 8 n3} – {125 m3 - 150 m2 n + 60 m n2 - 8 n3}
= 125 m3 + 150 m2 n + 60 m n2 + 8 n3 – 125 m3 + 150 m2 n - 60 m n2 + 8 n3
= 125 m3 – 125 m3 + 150 m2 n + 150 m2 n + 60 m n2 - 60 m n2 + 8 n3 + 8 n3
= 300 m2 n + 16 n3
FINAL ANSWER:
300 m2 n + 16 n3
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a Binomial
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a
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SDTT
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a
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and a
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Binomial
E A C
Second Quarter Grade 8 Mathematics Performance
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34
35. DANIEL PAUL PEREZ
Second Quarter Grade 8 Mathematics Performance Task Special Products 35
Insert Picture
Here
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& a
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36. (x+6)2=x2+12x+36
x2 is the square of x.
12x is twice the product of x with 6. (x· 6 = 6x. Twice that is 12x.)
36 is the square of 6.
x2 + 12x + 36 is called a perfect square trinomial -- which is the square of a
binomial.
answer:x2+12x+36
DANIEL PAUL PEREZ
SQUARE OF A BINOMIAL
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
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Binomial
E A C
Second Quarter Grade 8 Mathematics Performance Task Special
Products
36
37. ∗ AVERAGE QUESTION: (5x3 − 1)2 =25x6 − 10x3 + 1
25x6 is the square of 5x3
−10x3 is twice the product of 5x3 and −1. (5x3 times −1 = −5x3. Twice
that is −10x3.)
1 is t.he square of −1
answer:25x6 − 10x3 + 1
DANIEL PAUL PEREZ
SQUARE OF A BINOMIAL
E A C
Square of
a Binomial
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a
Trinomial
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SDTT
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a
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and a
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Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
37
38. ∗ CHALLENGING QUESTION:(8x – 7y)2
we need to square the first term the first term is 64x^2 then twice the product of the first and the second
terms 112xy then square the last term 49y^2
solution:(8x-7y)^2(8x-7y)^2
answer:64x^2-112xy+49y^2
Name:
SQUARE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
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Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
38
39. ∗ EASY QUESTION:
(x+5)(x+5)
To answer this we need to square the x and square the 5 or time
the two term like 5 times 5 and x times x
solution:(x)2-(5)2
answer:
x2-25
DANIEL PAUL PEREZ
Product of Sum and Difference of Two Terms
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
39
40. ∗ AVERAGE QUESTION:(9x + 5) (9x - 5)
∗ = (9x)2 - (5)2
∗ = 81x2 - 25
∗ we going to multiply 9x9 the answer is 81 then x times x will get
x2
∗ 5x5 will get 25
answer:81x2-25
DANIEL PAUL PEREZ
Product of Sum and Difference of Two Terms
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
40
41. ∗ CHALLENGING QUESTION: (40 + 3)( 40 – 3)
∗ (40)2 – (3)2
∗ 1600 – 9
to get the 40 we need to square it and 3 so i square the 40 i get
1600 then i square 3 i get 9
answer:1600-9
DANIEL PAUL PEREZ
Product of Sum and Difference of Two Terms
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
41
42. ∗ EASY QUESTION:
(x+6x+9x)2
To answer this we need to square the first square the second
square the third twice the product of the first and the second twice
the product of the first and the third twice the product of the
second and the third
solution:(x)2+(6x)2+(9x)2+2(x)(6x)+2(x)(9x)+2(6x)(9x)
answer:x2+36x2+81x2+36xx+18xx+108xx
DANIEL PAUL PEREZ
SQUARE OF A TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
42
43. ∗ AVERAGE QUESTION:
(5x + 3/2 y + z)2
to get the answer we need to square the first term then square the second term then square the third term
then square the first and the second then square the first and the third then the last to square is the second
and the third
answer: 25x2 + 4/9 y2 + z2 + 15xy + 3yz + 10zx
DANIEL PAUL PEREZ
SQUARE OF A TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
43
44. ∗ CHALLENGING QUESTION:
∗ (1/9 a – 1/3 b + 10)2
to get the answer we need to square the first term then square the second term then square the third term
then square the first and the second then square the first and the third then the last to square is the second
and the third
answer:1/81 a2 + 1/9 b2 + 100 – 2/27ab – 20/3b + 20/9a
DANIEL PAUL PEREZ
SQUARE OF A TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
44
45. ∗ EASY QUESTION:(4a2-b3)(16a4+4a2b3+b6)
to get the answer we need to cuben 4a^2 then cube the second the
b^3 then cube it
solution:(4a^2)^3-(b^3)^3
answer:64a^6-b^9
DANIEL PAUL PEREZ
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
45
46. ∗ AVERAGE QUESTION:(6r^3a-7t^2b)(36r^6a+42r^3at^2b+49t^4b)
like what we do we need to cube the (6r^3a)^3 then we need to
cube the second (7+^2b)^3
solution:(6r^3a)^3-(7+^2b)^3
answer:216^9a-343+^6b
DANIEL PAUL PEREZ
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
46
47. ∗ CHALLENGING QUESTION:(2/3g^2+4/5h)(4/9g^4-
8/15g^2h+16/25h^2
like what we did but this question we need to cross out something
in the first (2/3g^2)^3 we need to cross out the two three then the
second we dont cross them just cube them (4/5h)^3
solution:(2/3g^2)^3+(4/5h)^3
answer:8/27g^6+64/125h^3
DANIEL PAUL PEREZ
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
47
48. ∗ EASY QUESTION:(x + 5y)3
The sum of a cubed of two binomial is equal to the cube of the first term, plus
three times the square of the first term by the second term, plus three times the
first term by the square of the second term, plus the cube of the second term.
solution:(x)3+3(x)2(5y)+3(x)(5y)2+(5y)3
answer:x3+3x5y+3x25y+125y
DANIEL PAUL PEREZ
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
48
49. ∗ AVERAGE QUESTION:(5m + 2n)3
solution:(5m)3 + 3.(5m)2. (2n) + 3. (5m). (2n)2 + (2n)3
The sum of a cubed of two binomial is equal to the cube of the first term, plus
three times the square of the first term by the second term, plus three times the
first term by the square of the second term, plus the cube of the second term.
answer:125 m3 + 150 m2 n + 60 m n2 + 8 n3
DANIEL PAUL PEREZ
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
49
50. ∗ CHALLENGING QUESTION:(2p^3-4r)^3
The sum of a cubed of two binomial is equal to the cube of the first term, plus
three times the square of the first term by the second term, plus three times the
first term by the square of the second term, plus the cube of the second term.
solution:(2p^3)^3(2p^3)^2(-4r)+3(2p^3)(-4r)^2+(-4r)^3
answer:8p^9-48p^6^r+96p^3^r^2-64r^3
DANIEL PAUL PEREZ
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
50
51. NAME OF STUDENT 4
Second Quarter Grade 8 Mathematics Performance Task Special Products 51
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
52. Name:
SQUARE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 52
53. Name:
SQUARE OF A BINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 53
54. Name:
SQUARE OF A BINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 54
55. Name:
Product of Sum and Difference of Two
Terms
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 55
56. Name:
Product of Sum and Difference of Two
Terms
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 56
57. Name:
Product of Sum and Difference of Two
Terms
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 57
58. Name:
SQUARE OF A TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 58
59. Name:
SQUARE OF A TRINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 59
60. Name:
SQUARE OF A TRINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 60
61. Name:
PRODUCT OF A BINOMIAL AND A TRINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 61
62. Name:
PRODUCT OF A BINOMIAL AND A TRINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 62
63. Name:
PRODUCT OF A BINOMIAL AND A TRINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 63
64. Name:
CUBE OF A BINOMIAL
● EASY QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 64
65. Name:
CUBE OF A BINOMIAL
● AVERAGE QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 65
66. Name:
CUBE OF A BINOMIAL
● CHALLENGING QUESTION:
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product
of a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special Products 66
70. DANIEL PAUL PEREZ
This peta was so easy but if i getting to finish its getting harder but i know my
work is not the best but i do my best for it to finish this icl peta so if i get a
lower score its ok because i just do my best for it and this peta it was fun
because this peta we are not using paper work material so we can help mother
earth improve so we use the power of electronics.
Second Quarter Grade 8 Mathematics Performance Task Special Products 70
1 2
3 4
71. Name of Member 4
Second Quarter Grade 8 Mathematics Performance Task Special Products 71
1 2
3 4