Factoring Special Cases and by Grouping

Factor: 
x² - 225

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 
x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $64x^2+112x+49$  Factor:

•  $\left(8x-7\right)\left(8x+7\right)$  

•  $\left(8x-7\right)^2$  

•  $\left(16x+7\right)^2$  

•  $\left(8x+7\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $a^2-10a+25$  Factor:

•  $\left(a-5\right)\left(a+5\right)$  

•  $\left(a+5\right)^2$  

•  $\left(a-5\right)^2$  

•  $\left(a-10\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $k^2-225$  Factor:

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

•  $\left(k-15\right)^2$  

•  $\left(k\ -25\right)^2$  

•  $\left(k\ +10\right)\left(k\ -10\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

x³ + 4x² + 4x + 16

• (x+4)(x+2)

• (x² + 4)(x + 4)

• (x+4)(x² -4)

• (x-4)(x-2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 4b³ + b² + 8b + 2

• (b + 2)(4b + 1)

• (b² + 2)(4b + 1)

• (b + 2)(b + 1)

• (b³ + 2)(4b + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor:

x³ + 7x² + 2x + 14

• (x²+2)(x+7)

• (x²+2)(x+7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)