Question

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

Answer 1

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 (4x^2y + 1x^2y^2+ 5y^2)`

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

`6y(4x^2+1x^2y+5y)`

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