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What's wrong with this assuming?


Hi,


I have a situation where I have to simplify an expression that contains 
x and h, but x is given implicitly by h, so I can't explicitly eliminate 
it. So here's a simpler example that I'm trying and it does nothing:

Assuming[x^2 + x == h, (x^2 + x)^2+h] // FullSimplify

Is there a way to make this work?

Thanks!


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