Question

factor out the gcf from the polynomial.
z(y + 3) - 2(y + 3)
z(y + 3) - 2(y + 3) = \square

Explanation:

Step1: Identify the GCF

The two terms are \( z(y + 3) \) and \( -2(y + 3) \). The greatest common factor (GCF) here is \( (y + 3) \) since it appears in both terms.

Step2: Factor out the GCF

Using the distributive property \( ab + ac = a(b + c) \), we factor out \( (y + 3) \) from both terms. So we have \( (y + 3)(z - 2) \).

Answer:

\( (y + 3)(z - 2) \)