Question

factor completely. 4u^2 + 40u + 36

Explanation:

Step1: Factor out the GCF

The GCF of 4, 40, and 36 is 4. So we have $4(u^{2}+10u + 9)$.

Step2: Factor the quadratic inside

We need two numbers that multiply to 9 and add up to 10. The numbers are 9 and 1. So $u^{2}+10u + 9=(u + 9)(u+1)$.

Answer:

$4(u + 9)(u + 1)$