# Factorise this

1. Apr 1, 2007

### 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

2. Apr 1, 2007

### Dick

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

3. Apr 1, 2007

### HallsofIvy

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

4. Apr 1, 2007

### 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?

5. Apr 1, 2007

### Dick

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

6. Apr 1, 2007

### thomas49th

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