Factoring Special Cases

Factor: 
25x² - 100y²

• ( 5x - 10y) (5xy + 10y) 
• ( 5x - 10y)²
• Prime
• ( 5x - 50y) (5x + 50y) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
3x² - 75

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 81

• Prime (not factorable)
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Tags

CCSS.HSA.SSE.A.2

Factor:  $x^2-121$  

•  $\left(x-11\right)^2$  

•  $\left(x+11\right)\left(x-11\right)$  

•  $\left(x-60.5\right)\left(x+60.5\right)$  

•  $\left(x+11\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $k^2-225$  Factor:

•  $\left(k\ +15\right)\left(k\ -15\right)$  

•  $\left(k-15\right)^2$  

•  $\left(k\ -15\right)\left(k-15\right)$  

•  $\left(k\ +15\right)\left(k\ +15\right)$  

 $16x^2-81$  Factor:

•  $\left(4x-9\right)\left(4x-9\right)$  

•  $\left(2x-9\right)\left(2x+9\right)$  

•  $\left(4x\ +\ 9\right)\left(4x+9\right)$  

•  $\left(4x+9\right)\left(4x-9\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $49x^2-144$  Factor:

•  $\left(7x-12\right)^2$  

•  $\left(7x+12\right)^2$  

•  $\left(7x-12\right)\left(7x+12\right)$  

•  $\left(4x+11\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

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.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

Tags

CCSS.HSA.APR.C.4