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This document provides a summary of factoring techniques including: 1) Squaring binomials using the formula (a + b)2 = a2 + 2ab + b2 and (a - b)2 = a2 - 2ab + b2. 2) Factoring the difference of squares using the formula (a2 - b2) = (a + b)(a - b). 3) Factoring trinomials that are the product of a sum and difference using the formulas a2 - b2 = (a + b)(a - b). 4) Expanding cubes using the formula (x + a)3 = x3 + 3x2a +
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SPECIAL PRODUCTS
The document is a student report on special products in mathematics. It contains worked examples of squaring binomials and trinomials, taking the product of the sum and difference of two terms, and taking the cube of a binomial. The examples range from easy to challenging. For each type of problem, there are three examples shown with the step-by-step work and final answer provided.
Special Product ( Binomial And Trinomial Squaring)
This document provides information on special products involving binomial and trinomial squaring. It outlines the patterns and steps for squaring binomials and trinomials. For binomial squaring, the product consists of the square of the first term, twice the product of the first and last terms, and the square of the last term. For trinomial squaring, the product consists of the sums of the squares of each term and twice the products of each unique pair of terms. Examples are provided to demonstrate applying these patterns to square binomial and trinomial expressions.
Algebra 6 Point 10
(1) To square a binomial like (a + b)2, use the formula a2 + 2ab + b2. To square a difference like (a - b)2, use the formula a2 - 2ab + b2.
(2) The product of two binomials of the form (a + b)(a - b) is a2 - b2.
(3) Worked examples are provided to square binomials and multiply the sum and difference of the same two terms, along with practice problems for students to try.
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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:
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* Square of a Trinomial
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SPECIAL PRODUCTS
This powerpoint might help you in solving Special Products. It contains examples and problem solving.
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This document provides instruction on factoring perfect square trinomials and the difference of squares. It includes links to video explanations of factoring perfect square trinomials. It provides examples of factoring a perfect square trinomial and the difference of squares, including splitting the perfect square and finding the difference. Students are instructed to practice these skills on interactive math websites and problems, and to complete an assessment with multiple choice questions in an online factoring Gizmo simulation.
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This document discusses squaring binomial expressions. It provides three examples of squaring binomials of the form (x + a), showing that (x + a)2 = x2 + 2a*x + a2. Specifically, it squares (x + 3), (b - 5), and (m - 15) to get x2 + 6x + 9, b2 - 10b + 25, and m2 - 60m + 225 respectively.
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The document is a student report on special products in mathematics. It contains worked examples of squaring binomials and trinomials, taking the product of the sum and difference of two terms, and taking the cube of a binomial. The examples range from easy to challenging. For each type of problem, there are three examples shown with the step-by-step work and final answer provided.
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This document provides information on special products involving binomial and trinomial squaring. It outlines the patterns and steps for squaring binomials and trinomials. For binomial squaring, the product consists of the square of the first term, twice the product of the first and last terms, and the square of the last term. For trinomial squaring, the product consists of the sums of the squares of each term and twice the products of each unique pair of terms. Examples are provided to demonstrate applying these patterns to square binomial and trinomial expressions.
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(1) To square a binomial like (a + b)2, use the formula a2 + 2ab + b2. To square a difference like (a - b)2, use the formula a2 - 2ab + b2.
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This slideshow will show you how to perform Special Products using:
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The document discusses a 5 step process but provides no details on the actual steps or content of the process. It references 5 paragraphs but leaves the information in each paragraph undefined. In short, the document outlines a high-level structure with 5 parts but does not explain or elaborate on what each part entails.
Relations and functions domain and range may 31
The document discusses a new product launch for a company. It outlines key details of the product, including its features and target customers. It also provides a timeline for rolling out marketing and launching the product nationally over the next year.
3 statistics normal distribution may 25
The document contains information about test scores, wages, and robin egg weights that follow a normal distribution. It includes means, standard deviations, and asks what percentage of values fall above or below certain thresholds. It poses questions about test scores, manufacturing wages, and measuring weights of robin eggs.
2 statistics -standard deviation may 20
The document provides instructions for calculating the standard deviation from a set of test scores. It defines standard deviation as the square root of the sum of the squared differences between each score and the mean, divided by n-1. It then lists the steps to calculate standard deviation from a sample of 10 test scores, which are to be organized in a 3 column chart and used to determine the mean, differences from the mean, squared differences, sum of squares, and final standard deviation value.
1 statistics - percentile may 18
The document contains test results from 10 grade 10 students which range from 4.5 to 22. It then provides instructions on how to calculate the mean, mode, median, percentage, and percentile ranking for a given test score. For a test score of 17, the percentage would be 65% and the percentile ranking would be 55%. For a test score of 12, the percentage would be 46% and the percentile ranking would be the 25th percentile.
4 data analysis circle graphs may 28
To make a pie graph, one writes each number as a percentage of the total, expresses each percentage as a sector angle by multiplying by 360 degrees, rounds the sector angles to the nearest degree, draws a circle using a compass, draws radii from the center to the edge using a protractor to draw the largest sector, and includes an appropriate title, shading, and legend to label the graph. A math song teaches that the mean is the average, the median is the middle number, and the mode is the most frequent number. An assignment directs students to page 120, problems 1-2.
1 data analysis -line plots masy 19
The document provides instructions for constructing a line plot, including drawing a horizontal line, choosing an appropriate scale, and plotting an X above the line for each item in the data list. It also defines key terms used in line plots such as outliers, range, clusters, and gaps.
3 data analysis bar graphs may 27
This document contains a song about measures of central tendency (mean, median, mode) and instructions for accurately and inaccurately representing data using bar graphs. The key points are:
1) The mean is the average, the median is the middle number, and the mode is the most frequent value.
2) To accurately display data on a bar graph, the vertical axis should begin at zero and extend slightly above the maximum data value, and the bars should be the same width.
3) To exaggerate differences, the vertical axis range should tightly fit the data values. To minimize differences, the vertical axis should extend well above the maximum data value.
2 data analysis central tendancies may 21
This document discusses measures of central tendency including the mean, median, and mode. It provides examples to calculate and compare the mean, median, and mode for sets of data. The mean is the average value, the median is the middle value, and the mode is the most frequent value. The document explains that the mean may be higher or lower than the median depending on whether there are more values above or below it. It also gives an example of calculating the mean, median, and mode for golf scores to determine which player has the better average score.
Trigonometry circular fcn
The document discusses a new product launch for a company. It outlines key details of the product, including its features and target customers. It also provides a timeline for rolling out marketing and launching the product nationally over the next 6 months.
3 trigonometry -sine law
The document discusses a new product launch that is scheduled for next month. It provides details on marketing campaigns that will promote the product, including a television commercial, social media promotions, and product demonstrations at local stores. The goal is to raise brand awareness and generate strong sales during the first month to ensure the new product is successful in the market.
2 statistics -standard deviation may 20
The document provides instructions for calculating the standard deviation from a set of test scores. It defines standard deviation as the square root of the sum of the squared differences between each score and the mean, divided by n-1. It then lists the steps to calculate standard deviation from a sample of 10 test scores, which are to be organized in a 3 column chart and used to determine the mean, differences from the mean, squared differences, sum of squares, and final standard deviation value.
1 data analysis -line plots masy 19
The document provides instructions for constructing a line plot, including drawing a horizontal line, choosing an appropriate scale, and plotting an X above the line for each item in the data list. It also defines key vocabulary terms used in line plots such as outliers, range, clusters, and gaps.
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- 1. 1
- 2. 2
- 3. Review Factoring Trinomials Factor the following: c) 3x2 5x 12 d) 2x2 + 11x 5 e) 2x2 6 x +4 3
- 4. 4
- 5. 5
- 6. Assignment from yesterday Check your copies to be sure you can read the following questions: 31. 4x2 18x 10 33. 3t4 + 9t2 +4t 35. 12r2 + 27r +15 37. 6 + 5y 4y2 41. 6m2 + mn 2 n2 39. 12 + 18t + 8t2 43. 10a2 3ab b2 45. 6c2 + 13cd +2d2 47. 6x2 9xy + 3y2 49. 4y2 + 4xy 8x2 6
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