Factoring Differences of Squares

Factor the following completely.

 $49b^2-64$  

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

•  $\left(7b-8\right)^2$  

•  $\left(49b-64\right)\left(49b+64\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following completely.

 $16x^2+49$  

•  $\left(4x+7\right)\left(4x-7\right)$  

•  $\left(4x-7\right)^2$  

•  $\left(8x-7\right)\left(2x+7\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

Factor the following completely.

 $10x^3-490x$  

•  $10\left(x^3-49x\right)$  

•  $10x\left(x-7\right)^2$  

•  $10x\left(x-7\right)\left(x+7\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following completely.

 $200k^2+2$  

•  $2\left(100k^2+1\right)$  

•  $2\left(10k+1\right)\left(10k-1\right)$  

•  $2\left(10k-1\right)^2$  

•  $prime$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following completely.

 $9x^2-49y^2$  

•  $9\left(x^2-40y^2\right)$  

•  $\left(3x-7y\right)^2$  

•  $\left(3x-7y\right)\left(3x+7y\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following completely.

 $50u^2-8v^2$  

•  $\left(25u-4v\right)\left(25u+4v\right)$  

•  $2\left(5u+2v\right)\left(5u-2v\right)$  

•  $2\left(25u^2-4v^2\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following completely.

 $9n^4-16$  

•  $\left(3n-4\right)\left(3n+4\right)$  

•  $n^2\left(3n+4\right)\left(3n-4\right)$  

•  $\left(3n^2-4\right)\left(3n^2+4\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

Factor the following completely.

 $64x^4-1$  

•  $\left(8x-1\right)\left(8x+1\right)$  

•  $x^2\left(8x+1\right)\left(8x-1\right)$  

•  $\left(8x^2-1\right)\left(8x^2+1\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

Factor the following completely.

 $81m^2-100$  

•  $\left(9x+10\right)\left(9x-10\right)$  

•  $\left(9x-10\right)^2$  

•  $\left(9x-20\right)\left(9x+5\right)$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following completely.

 $m^2-16$  

•  $\left(m+2\right)\left(m-8\right)$  

•  $\left(m+4\right)\left(m-4\right)$  

•  $\left(m-4\right)^2$  

•  $prime$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3