How Do You Factorize (p+q)² + 5(p+q)?

[thomas49th]

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]

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

 

[HallsofIvy]

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

 

[thomas49th]

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]

There is one set of parentheses standing between you and a correct answer.

 

[thomas49th]

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