Factoring Difference of Squares and Cubes

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.APR.C.4

x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.APR.C.4

x² - 225

• ( x + 15) ( x + 15) 
• Prime
• ( x - 15) ( x + 15) 
• ( x - 15) ( x - 15) 

Tags

CCSS.HSA.APR.C.4

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

Tags

CCSS.HSA.APR.C.4

25x²y² - 100

• ( 5xy - 10) (5xy + 10) 
• ( 5xy + 10) (5xy + 10) 
• Prime
• ( 5xy - 50) (5xy + 50) 

Tags

CCSS.HSA.APR.C.4

x² + 81

• Prime
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Tags

CCSS.HSA.APR.C.4

3x² - 75

• 3( x + 5 ) ( x - 5 ) 
• Prime
• ( x + 5 ) ( x - 5 ) 
• 3( x - 5 ) ( x - 5 ) 

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
8x³-27

• (2x+3)(4x²-6x+9)
• (2x-3)(4x²+6x+9)
• (2x-3)(4x²+6x-9)
• (2x-3)(2x²+6x+9)

Tags

CCSS.HSA.APR.C.4

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor using differencesum/ of cubes.  (use your notes!)
a³ + b³

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Tags

CCSS.HSA.APR.C.4