1. Factorization help

Hi everybody,

I can't seem to work out how to factorize this particualar sum. Could someone please explain how you go through it?

The sum is:

$10(2x+y)^2+11(2x+y)-6$

My book gives this as the answer, although I don't know how to get there:

$(10x+5y-2)(4x+2y+3)$

Any help would be much appreciated,

Thanks!

Drew

2. Originally Posted by 22upon7
Hi everybody,

I can't seem to work out how to factorize this particualar sum. Could someone please explain how you go through it?

The sum is:

$10(2x+y)^2+11(2x+y)-6$

My book gives this as the answer, although I don't know how to get there:

$(10x+5y-2)(4x+2y+3)$

Any help would be much appreciated,

Thanks!

Drew
Let $u=2x+y$. Can you factor $10u^2+11u-6$?

3. Originally Posted by VonNemo19
Let $u=2x+y$. Can you factor $10u^2+11u-6$?
Yes I can, that makes it much easier, thanks a lot!

4. Originally Posted by 22upon7
Yes I can, that makes it much easier, thanks a lot!
Don't forget to back substitute.