Question

How to simplify sqrt(4-y^2)*y-sqrt(2y-y^2)*y?

Answer 1

\[\sqrt{4-y^2}y-\sqrt{2y-y^2}y\]

Answer 2

@ganeshie8 @satellite73 @thomaster @e.mccormick

Answer 3

\[\begin{align*}
y\sqrt{4-y^2}-y\sqrt{2y-y^2}&=y\sqrt{2-y}\sqrt{2+y}-y\sqrt{y}\sqrt{2-y}\\\\
&=y\sqrt{2-y}\left(\sqrt{2+y}-\sqrt y\right)
\end{align*}\]
I don't think there's much more you can do with this. It's not really simplifying, either...

Answer 4

You're right, man. Thanks.