Question

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

Explanation:

Step1: Identify GCF of all terms

The coefficients are 28, 12, 48, 16. Their GCF is 4. There is no common variable across all terms.

Step2: Factor out the GCF

Divide each term by 4:
$28x^{5}y^{2} \div 4 = 7x^{5}y^{2}$
$-12z^{2} \div 4 = -3z^{2}$
$48yz \div 4 = 12yz$
$16 \div 4 = 4$
Combine the results inside parentheses, multiplied by the GCF: $4(7x^{5}y^{2}-3z^{2}+12yz+4)$

Answer:

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