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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]}]