Question

1. factor $28x^{5}y^{2}-12z^{2}+48yz+16$.

a. $4(x^{5}y^{2}-3z(z-4))$
b. $28x^{5}y^{2}-12z^{2}+48yz+16$
c. $4(7x^{5}y^{2}-3z^{2}+12yz+4)$
d. $4(7x^{5}y^{2}-(3z+1)(z-4))$

Explanation:

Step1: Identify GCF of terms

Find GCF of 28, 12, 48, 16: $\text{GCF}=4$

Step2: Factor out GCF from each term

$28x^5y^2=4\times7x^5y^2$, $-12z^2=4\times(-3z^2)$, $48yz=4\times12yz$, $16=4\times4$

Step3: Rewrite expression with factored GCF

$4(7x^5y^2 - 3z^2 + 12yz + 4)$

Answer:

c. $4(7x^{5}y^{2}-3z^{2}+12yz+4)$