Download as PDF, PPTX
![Factoring Sum of Two Cubes
𝟖𝒃 𝟑
+ 𝟐𝟕𝒄 𝟑
= ( ) 𝟑
+ ( ) 𝟑
Given:
Rewrite as sum of two
cubes:
2b 3c
Supply the missing
terms:
Factored Form (2b + 3c)(4𝑏2
- 6bc + 9𝑐2
)
(x + y)(𝒙 𝟐
- xy + 𝒚 𝟐
)
( + )[ 𝟐
- · + 𝟐
]
x y
2b 3c (2b) (3c)2b 3c](https://image.slidesharecdn.com/edited-200712105751/85/Factoring-Sum-and-Difference-of-Two-Cubes-7-320.jpg)
![Factoring Difference of Two Cubes
𝟐𝟕𝒄 𝟑
- 𝒅 𝟑
= ( ) 𝟑
- ( ) 𝟑
Given:
Rewrite as difference of
two cubes:
3c d
Supply the missing
terms:
Factored Form (3c - d)(9𝑐2
+ 3cd + 𝑑2
)
(x - y)(𝒙 𝟐
+ xy + 𝒚 𝟐
)
( - )[ 𝟐
+ · + 𝟐
]
x y
3c d (3c) d(3c) d](https://image.slidesharecdn.com/edited-200712105751/85/Factoring-Sum-and-Difference-of-Two-Cubes-9-320.jpg)
![Factoring Difference of Two Cubes
𝟖𝒆 𝟑
𝒇 𝟔
- 𝟏𝟐𝟓𝒈 𝟑
= ( ) 𝟑
- ( ) 𝟑
Given:
Rewrite as difference of
two cubes:
2e𝒇 𝟐 5g
Supply the missing
terms:
Factored Form
(2e𝑓2
- 5g)(4e2
𝑓4
+ 10e𝑓2
g + 25𝑔2
)
(x - y)(𝒙 𝟐
+ xy + 𝒚 𝟐
)
( - )[ 𝟐
+ · + 𝟐
]
x y
2e𝒇 𝟐
5g (2e𝒇 𝟐
) (5g)(2e𝒇 𝟐
) 5g](https://image.slidesharecdn.com/edited-200712105751/85/Factoring-Sum-and-Difference-of-Two-Cubes-10-320.jpg)
![Factoring Difference of Two Cubes
64 - 𝒑 𝟔
= ( ) 𝟑
- ( ) 𝟑
Given:
Rewrite as difference of
two cubes:
4 𝒑 𝟐
Supply the missing
terms:
Factored Form
(2+p)(2-p)(16 + 4𝑝2
+ 𝑝4
)
(x - y)(𝒙 𝟐
+ xy + 𝒚 𝟐
)
( - )[ 𝟐
+ · + 𝟐
]
x y
4 𝒑 𝟐
4 (𝒑 𝟐
)4 𝒑 𝟐](https://image.slidesharecdn.com/edited-200712105751/85/Factoring-Sum-and-Difference-of-Two-Cubes-11-320.jpg)
Skip to main content
Uploaded byFree Math Powerpoints
Factoring Sum and Difference of Two Cubes
The document outlines objectives and methods for factoring the sum and difference of two cubes, providing examples and exercises for middle school students. It includes identifying perfect cubes, factoring expressions like a^3 + b^3 and a^3 - b^3, and filling in missing terms for different algebraic expressions. The material is structured to help students practice and understand these mathematical concepts.
