# Questions tagged [simplifying-expressions]

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

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### How to use TransformationFunctions to simplify this expression

I see this interesting question here. But I want to simplify it with the help of Simplify function (Maybe the ...
97 views

### How can I always get the simplest solution from Integrate? [closed]

When I evaluate this. Integrate[1/(x (1 + x^4)^(1/4)), x] // FullSimplify In 11.3 I get ...
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### Canceling factors from numerator and denominator with complex number

I have the following expression: $\text{expr} = i \frac{\sqrt{a-b}}{\sqrt{b-a}}x$. Clearly simplifying expression gives $\text{expr}=x$ by cancelling the numerator and denominator. However, I am not ...
168 views

### Series gives wrong result

Bug introduced in 10.0 or earlier and persisting through 12.0. The following code shows that Series gives different results depending on whether one simplifies the ...
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### Simplify expression with non-commutative products

I am using NCAlgebra but I am open to any solution. I would like to simplify some expressions with many terms (a few dozens) using: the fact that each term is a ...
40 views

### Cancelling power terms in numerator and denominator

.Dear Community. I have the following expression in Mathematica: (1 + x) (x + (w/(A (1 - y)))^(1/y)) (A (1 - y))^(1/y) I would like to simplify it so that terms ...
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### Why is my answer not fully being simplified with the Simplify[] and FullSimplify[] functions? [closed]

The code for my program is as follows: ...
42 views

### Factorizing non commutative terms

Is it possible to factor a ** b ** c - a ** b ** d as a ** b ** (c - d) ? I am using ...
259 views

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### how to get rid of the denominator in the squareroot, that appears in the denominator?

Here is an example: $\frac{\nu y_0}{\left(x_0+\frac{1}{2}\right) \sqrt{\nu ^2+\frac{\left(4 x_0^2+4 y_0^2-1\right){}^2}{16 y_0^2}}}$ ...
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### Simplify Integrate results

I wish to simplify the overlap of two gaussian-type orbitals, primGauOrb = ((2 Ī±)/Ļ)^(3/4)E^(-Ī± (x^2 + y^2 + z^2)); And then integrate it, ...
119 views

### Simplifying the expression by defining functions

I want to simplify the function below by using FullSimplify: ...
62 views

### Why is Log[8 E^(3 Log[0.5]) != 0 [closed]

My wife and I have tried to calculate Log[8 E^(3 Log[0.5]) on a TI-Nspire and we got the result -8E-14. We have changed th settings of calculation to Exact and the result was 0 (correct) If I use ...
60 views

### A single expression that performs substitution and simplifies a trigonometric form [closed]

I'm very new to Mathematica. I searched through the online documentation, but I don't understand why it realizes that $\sin(n\pi)$ for $n\in \mathbb{Z}$ is $0$: ...