GCF Factoring

What is the GCF of the following expression?

 $24x^3y+36x^2y-48x^5y^2$  

•  $8xy$  

•  $8x^2y$  

•  $12xy$  

•  $12z^2y$  

Identify the GCF of the expression below:

 $a^3b^2c^4-a^2b^3c^4+2a^4b^2c^3$  

•  $2a^2b^2c^2$  

•  $2a^2b^2c^3$  

•  $a^2b^2c^3$  

•  $a^2b^2c^2$  

What is the GCF of the following expression?

 $12x^3y^2-18xy^2-9x^2y^3$  

•  $3xy$  

•  $3xy^2$  

•  $6xy$  

•  $6xy^2$  

Identify the GCF of the expression below:

 $10m^4n^5-50m^3n^3$  

•  $10m^4n^3$  

•  $5m^3n^3$  

•  $10m^3n^3$  

•  $5m^4n^5$  

Completely factor the expression below:

 $4x^3y+6x^2y^2-8x^4y^3$  

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

•  $2xy\left(2x^2+3xy-4x^3y^2\right)$  

•  $4x^2y\left(x+2y-4x^2y^2\right)$  

•  $4xy\left(x^2+2xy-4x^3y^2\right)$  

Completely factor the expression below:

 $6a^3b^2-9a^4b^3+12a^2b^4$  

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

•  $6a^2b^2\left(a-3a^2b+2b^2\right)$  

•  $6ab\left(a^2b-3a^3b^2+2ab^3\right)$  

•  $3ab\left(2a^2b-3a^3b^2+4ab^3\right)$  

Completely factor the expression below:

 $16m^2n^3+32m^3n^2$  

•  $2mn\left(8mn^2+16m^2n\right)$  

•  $4mn\left(4mn^2+8m^2n\right)$  

•  $8m^2n^2\left(2n+4m\right)$  

•  $16m^2n^2\left(n+2m\right)$  

Completely factor the expression below:

 $60c^2d-15c^3d^2+45cd^2$  

•  $15c^2d^2\left(4-c+3d\right)$  

•  $5cd\left(12c-3c^2d+9d\right)$  

•  $5c^2d^2\left(12-3c+9d\right)$  

•  $15cd\left(4c-c^2d+3d\right)$  

Completely factor the expression below:

 $2x^2y-4xy^3$  

•  $2xy\left(xy-4y\right)$  

•  $2xy\left(x-2y^2\right)$  

•  $2x^2y^3\left(y-2\right)$  

•  $2xy\left(x-2y\right)$  

Which of the following have been factored correctly? Select all correct answers.

• $12x^2y^2-36x^3y^2=12x^3y^2\left(1-3y\right)$

• $4m^3n^2+12m^2n=2m^2n\left(2mn+6\right)$

• $2a^2b+6ab^2=2ab\left(a+3b\right)$

• $5mn^2+15m^3n^2=5mn^2\left(1+3m^2\right)$