# Questions tagged [simplifying-expressions]

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

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### Factorize in a particular way

I was trying to factorise this polynomial expression: TestPolynomial=-p1^2 x1 x2 - p3^2 x1 x3 - p1^2 x2 x3 + 2 p1 p3 x2 x3 - p3^2 x2 x3 into this form, ...
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### Express polynomials as sum of squares

Well, while SOStools of Matlab can express a polynomials as SOS (Sum Of Squares) by the following theorem: A multivariate polynomial p in n variables and of degree 2d is a sum of squares if and only ...
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### Equalities for trace with symbols

Mathematica does not seem to know basic rules for computation with trace when one uses symbols; e.g. FullSimplify[Tr[A.B] == Tr[B.A]] gives as output ...
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### Replacing an arbitrary function of a variable [closed]

If I do something like 1/Sqrt[x] /. {Sqrt[x] -> a} it does not lead to an expected result, but can be fixed with ...
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### How to simplify and get the results I want?

How to simplify and get the results (3.10) I want? I want to get the result of (3.9)and (3.10) according to (3.6),(3.7)and(3.8). But the result I got was not (3.10). I don't know where I made a ...