Factoring - GCF, Diff of Sq, Trinomials (a=1) and (a NOT =1)

Factor using the GCF.

28c-12

• 4(c-3)

• 4(7c+12)

• 4(7c+3)

• 4(7c-3)

Tags

CCSS.7.EE.A.1

Factor using the GCF.
 $x^2y+x$  

• x(xy+1)

• x(xy+x)

• x(y+1)

• Prime

Factor using the GCF.

 $10m^2n+30mn^2+5mn$  

•  $5\left(2m^2n+6mn^2+mn\right)$  

•  $5m\left(2mn+6n^2+n\right)$  

•  $5mn\left(2m+6n+1\right)$  

•  $5n\left(2m^2+6mn+m\right)$  

Factor using the GCF.
 $72a^5b^3c-32a^3b^2c^2$  

•  $8abc\left(9a^4b^2-4a^2bc\right)$  

•  $8a^3b^2c\left(9a^2b-4c\right)$  

•  $8c\left(9a^5b^3-4a^3b^2c\right)$  

•  $8\left(9a^5b^3c-4a^3b^2c^2\right)$  

Factor the difference of squares. *Check for GCF.
 $x^2-225$  

• (x-15)(x-15)

• (x+15)(x+15)

• (x+15)(x-15)

Tags

CCSS.HSA.APR.C.4

Factor the difference of squares. *Check for GCF.
 $81-4y^2$  

• (2y+9)(2y-9)

• (9+2y)(9-2y)

• (9-2y)(9-2y)

Tags

CCSS.HSA.APR.C.4

Factor the difference of squares. *Check for GCF.
 $9k^4-25$  

•  $(3k^2+5)(3k^2-5)$  

•  $(3k^2-5)(3k^2-5)$  

•  $(5+3k^2)(5-3k^2)$  

•  $(5-3k^2)(5-3k^2)$  

Tags

CCSS.HSA.APR.C.4

Factor the difference of squares. *Check for GCF.
 $2x^3-200x$  

•  $2\left(x^3-100x\right)$  

•  $2x\left(x^2-100\right)$  

•  $2x\left(x-10\right)\left(x+10\right)$  

• Prime

Tags

CCSS.HSA.APR.C.4

Factor the difference of squares. *Check for GCF.
 $72y^4-18y^2$  

•  $18y^2\left(4y-1\right)$  

•  $18y^2\left(2y+1\right)\left(2y-1\right)$  

• Prime

•  $9y^2\left(8y^2-2\right)$  

Tags

CCSS.HSA.APR.C.4

Factor the difference of squares. *Check for GCF.
 $49x^3-xy^2$  

• Prime

•  $x\left(49x^2-y^2\right)$  

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

•  $x(7x-y)(7x-y)$  

Tags

CCSS.HSA.APR.C.4