Question

which expression is equivalent to 12x^{2}+3x + 3?
a 4x^{2}(3x + 3)
b 12x(x + 1)
c 3(4x^{2}+x + 1)
d 18(x^{2}+x + 1)

Explanation:

Step1: Factor out the greatest - common factor

Find the GCF of 12, 3, and 3. The GCF of 12, 3, and 3 is 3.
$12x^{2}+3x + 3=3\times4x^{2}+3\times x+3\times1$

Step2: Apply the distributive property in reverse

$3\times4x^{2}+3\times x + 3\times1=3(4x^{2}+x + 1)$

Answer:

C. $3(4x^{2}+x + 1)$