Question

Factor:$ab+7b+8a+56$.

Short answer

The required factor is$\left(a+7\right)\left(b+8\right)$.

Step-by-step solution

Step 1. Given information.

The given polynomial is:

$ab+7b+8a+56$

Step 2. Find the factor.

$ab+7b+8a+56$

There is no GCF in all four terms. Therefore, separate into two parts.

$ab+8a+7b+56$

Factor the GCF from both parts,

$a\left(b+8\right)+7\left(b+8\right)$

Factor the common factor from the expression,

localid="1647765391842" $\left(a+7\right)\left(b+8\right)$