# Thread: Factorisation

1. ## Factorisation

3x(x-2y)2-(x-2y)3 =

2. ## Factorising

Hello lmyeo
Originally Posted by lmyeo
3x(x-2y)2-(x-2y)3 =
I'm guessing that your question means

$\displaystyle 3x(x-2y)^2-(x-2y)^3$

In which case, your two main terms share a common factor of $\displaystyle (x-2y)^2$. So take it out, like this:

$\displaystyle 3x(x-2y)^2-(x-2y)^3=(x-2y)^2(3x - (x-2y))$ Can you see what I've done?

$\displaystyle = (x-2y)^2(3x - x+2y)$

$\displaystyle =(x-2y)^2(2x + 2y)$

$\displaystyle =2(x-2y)^2(x + y)$

Grandad