Question

factor completely.
$4u^{3}+8u^{2}+5u + 10$

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(4u^3 + 8u^2) + (5u + 10)$

Step2: Factor out the GCF from each group

Factor out $4u^2$ from the first group and $5$ from the second group: $4u^2(u + 2) + 5(u + 2)$

Step3: Factor out the common binomial factor

Factor out $(u + 2)$: $(u + 2)(4u^2 + 5)$

Answer:

$(u + 2)(4u^2 + 5)$