SOLUTION: Hello. I'm needing some help on simplifying the expression 2(x-y^2)^2-3(y^2+2x)^2 Thanks!

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Question 183680: Hello.
I'm needing some help on simplifying the expression
2(x-y^2)^2-3(y^2+2x)^2
Thanks!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I'm needing some help on simplifying the expression
2(x-y^2)^2-3(y^2+2x)^2
----------------
2(x^2 - 2xy^2 + y^4) - 3(y^4 + 4xy^2 + 4x^2)
= 2x^2 - 4xy^2 + 2y^4 - 3y^4 - 12xy^2 - 12x^2
= -10x^2 - 16xy^2 - y^4
= -(y^4 + 16xy^2 + 10x^2)
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Cheers,
Stan H.