Simplify long expression – math.stackexchange.com

Simplify long expression – math.stackexchange.com

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I am trying to show that when inserting $$S = Q \frac{hd + pb}{bh + pb}$$ into the expression $$\frac{h(bS - dQ)^2}{2b(b-d)Q} + \frac{pb(Q-S)^2}{2(b-d)Q}$$ it can be simplified to the fraction ...

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