# Questions tagged [simplifying-expressions]

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

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### problem in returning relations with unified format

first of all I didn't know what could be the proper title for this question, you may edit it if you find better, thanks. I am making some relations dynamically, relations will return based on two type ...
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### Result of a series of long arithemitic operations

Let us consider the following expression: $$((x-y∗(a-(B+3)))^2-(f-1)^2∗(2a∗(B+3)-(B+3)^2-1)^2)^2+(g-(2a∗(B+3)-(B+3)^2-1))^2+(w-(B+3+h))^2......(q)$$ I want to make the following steps: (1) Expand and ...
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### Simulatneously replacing variables of an expression [closed]

How do I simultaneously apply a set of substitutions on an expression? I have tried $/.\{{\text{replacement1}, \text{replacement2}, \ldots}\}$, however, it still seems that only the first one is ...
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### How to 'define' value in Assumptions but not let Simplify replace it? [closed]

I want to let Simplify know the exact value of a symbol, to resolve logical statements, but don't want it to actually replace it. For instance, I would like ...
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### Did Mathematica make a mistake or was it me?

I'm having a little trouble with Mathematica. There are two expressions that should be equal over a given region. Each of which consists of three terms that should be equal individually: term1 of ...
Given transfer function: $W=\frac{10 (s+100)}{2 s^4+219 s^3+1909 s^2+900 s+1000}$ W=(1000 + 10 s)/(1 (1000 + 900 s + 1909 s^2 + 219 s^3 + 2 s^4)) Which command to ...