Question

write the expression in complete factored form q^2(p+1)+3(p+1)

Answer 1

first expand the brackets which will give you
$pq {}^{2} + q { }^{2} + 3p \: + 3$
then factor them
$(q {}^{2} + 3)(p + 1)$

Answer 2

The answer is (p+1) (q^2+3)