1. ## Simplifying expression

I'm doing some extra math sheets and got stuck on this problem:
u^2√(24uy^2)-4√(96u^5)
Can someone please solve with steps so I know how to do it?

2. ## Re: Simplifying expression

u^2√(24uy^2)-4√(96u^5) =
$u^2\sqrt{4y^2 \cdot 6u} - 4\sqrt{16u^4 \cdot 6u} =$

$u^2 \cdot 2y \sqrt{6u} - 4 \cdot 4u^2 \cdot \sqrt{6u} =$

$2u^2\sqrt{6u}(y - 8)$

3. ## Re: Simplifying expression

Originally Posted by skeeter
$2u^2\sqrt{6u}(y - 8)$
Don't you need $|y|~?$

4. ## Re: Simplifying expression

Originally Posted by Plato
Don't you need $|y|~?$
yes, you do ... but I didn't want to confuse things at this point.