# Factorise this

Relevant equations

Factorise
$$(p+q)^{2}+5(p+q)$$

The attempt at a solution

Multiply out the brackets giving

p² + q² +2pq + 5p + 5q

now how do I factorise that?

Thx

Dick
Homework Helper
Both terms in the original problem have a common factor. Factor it out.

HallsofIvy
Homework Helper
If something is already factored for you (like (p+q)2 try not to multiply it again!

so i need to factorise the factorised. Hmmm. Well p + q is in each bracket so ill put that on the outside

$$p + q(5 + p + q)$$

is that right?

Dick
$$(p + q)(5 + p + q)$$