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Questions on manipulating complicated expressions and making them look simpler using Simplify, FullSimplify and Reduce.

1 vote
2 answers
460 views

Simplifying an expression using assumptions [closed]

Is there a way to simplify the following expression $$A = \frac{\left (a^6-b^6 \right )^2}{c^6-4a^3b^3}$$ assuming \begin{eqnarray} a = &\ (a-b)^2+b\ (a+1) \cr b = &\ (b-c)^2+c\ (b+1) \cr c …
1 vote
2 answers
514 views

Transform polar coordinates to rectangular

I am not satisfied, I'll be wrong? I used this Simplify[r*Cos[θ]^2 == Sqrt[2]*Sin[θ + π/4] /. {r -> Sqrt[x^2 + y^2], z -> ArcTan[y/x]}]