# How do you factor 24x^2y + 6x^2y^2 + 30y^2 ?

May 12, 2018

Search for numbers or variables they have in common

#### Explanation:

If you look at the numbers, 24, 6, and 30, they can all be divided by 6. So divide everything by six, write what's left in brackets and add 6 as a multiplier.

$6 \left(4 {x}^{2} y + 1 {x}^{2} {y}^{2} + 5 {y}^{2}\right)$

Now on to the variables! They all have a y in common. Just do the same as above and it'll look like this:

$6 y \left(4 {x}^{2} + 1 {x}^{2} y + 5 y\right)$

Now if you want (I don't think it'll help you in this case), you can also exclude ${y}^{2}$ leaving
$6 {y}^{2} \left(4 {x}^{2} / y + 1 {x}^{2} + 5\right)$