# Questions tagged [simplifying-expressions]

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

1,799 questions
Filter by
Sorted by
Tagged with
14 views

### Uncertain behaviour when using FullSimplify

While doing some (symbolic) calculations with Mathematica, I encountered a small problem with the FullSimpilify function that hopefully someone here might explain to me. More specifically, I fear that ...
85 views

### How to simplify Elliptic integrals?

Context I would like to show that these 2 functions are identical ...
37 views

### Expression simplification

I have this term Sqrt[(B Bc)/(A^2-B Bc)]Sqrt[B Bc+A(-A+Sqrt[A^2-B Bc])]Sqrt[-B Bc+A(A + Sqrt[A^2-B Bc])], which actually can be simplified to B*Bc. However, it ...
39 views

### What is the difference between NSolve and N[Solve] [closed]

N[Solve] NSolve I am getting different results everytime I use these commands.
58 views

### Getting full expression of real roots using ToRadicals?

I'm solving this system of equations with Mathematica: ...
33 views

### Stopping Simplify and FullSimplify expressing real terms as complex

I am working with real functions but FullSimplify and Simplify express them as complex terms. I assume this is because the ...
28 views

### Simplify with Assumptions: Puzzle for 4 variables [duplicate]

I have a rather specific question about Simplify[] (hope this is not off-topic). The puzzle I have is that Simplify[] with ...
34 views

### Recognizing Padé approximant in Simplify/Refine

Having used Maple before, I know for a fact that there we can just type in a function, then separately define its Padé approximant (or Taylor) and then use simplify ...
50 views

### Computing the coefficients of series

I am trying to fully expand the following $$\sum_{n=0}^{\infty} \frac{q^{\frac{n(n+1)}{2}}}{(q;q)_n}$$ Which when expressed in Mathematic is: q^(n*(n + 1)/2)/QPochhammer[q, q, n] I would like to be ...
80 views

### Symbolic solution of system of equations 12x12 takes very long time and the answer is complex too

I am trying to solve a system of equation symbolically. It works fine for 6x6, however for 12x12 system it takes very long and the answers are complex. I am using "Solve" or "Reduce&...
99 views

### How to eliminate $x,y$ from that system?

The system is as follows sys={a*Tan[x] == b*Tan[y], a*Sin[x]^2 + b*Cos[x]^2 == m, b*Sin[y]^2 + a*Cos[y]^2 == n} My approachs are ...
62 views

### Write a^2k =0 for k in natural numbers [closed]

How do I write $a^{2k}=0$ where $k \in \mathbb{N}$ as an initiation to a problem simplification? I tried writing {k,0,N} as a part of code, which is not detected
52 views

### Simplification of array terms

My $n$th term in an array is an expression, something like $v=\{0,a^2+2,\frac{2ab}{5}-\frac{a^3}4,\frac{2abc}{3}-\frac{a^3}4,...\}$. As the array length increases, the number of variables involved ...
25 views

### Simplify Equation with variable unequal to zero

How can I simplify the following equation with Mathematica assuming z!=0? I have the following code: ...
43 views

### How to simplify this output with ArcTan[Tan XXXX ] [closed]

Integrate[Tan[3 x]^2, x] Why couldn't it simplify the answer to -x + 1/3 Tan[3x] so to speak
43 views

### Simplify square roots with five or more variables, assumptions not working

Mathematica 12.0 gives me a result of the form Sqrt[a b + x y z] Sqrt[-(1/(- a b - x y z))] which obviously should simplify to 1. However, even with the assumption ...
56 views

### How can I get rid of Abs?

In the following code, the functions WP[t] and WS[t] are real. Time also is a positive parameter. As you can see, MATHEMATICA enters Abs in the calculations. Including Abs only complicates the next ...
119 views

### Simplifying expressions containing binary variables

Consider an expression with two binary variables, $a,b\in\left\{ 0,1\right\}$, given by $F=(1-a-b)^{3}(1-b)$, with truth table: ...
81 views

61 views

### Extracting subexpressions

This is a recurrent topic: replacing subexpressions. See for instance: ...
84 views

### How to Simplify expression efficiently inside Power

How can I simplify trivial expressions under the Power? Here is one example: (z2p-z2p z3)^-ϵ ...
45 views

### How to protect the expansion of exponent while applyting rules

I am trying to separate/split an expression (consisting of polynomials) to a list. However I want to keep the exponents intact. Here is an example: ...
51 views

### How to simplify a matrix with detailed steps?

When I simplify a matrix with a parameter, for example: (PS: it's the answer to the textbook) When I use RowReduce[] to simplify this matrix. it seems going too far to its simplest form: So, My ...
44 views

### Constant inside If condition

I hope you are doing well. I am currently writing some code in which I have an If statement where I will be dividing two expressions and checking to see if the quotient comes out to be a constant ...
77 views

### How to symbolically integrate a function of 6 variables?

I have a big function of 6 variables in total - x1, x11, x2, x22, x3, x33. ...
40 views

### How to simplify quotient and mod in integer domain

I want to simplify (a*32 + a%32)/32, and a is integer. So I write: ...
48 views

### Simplification and patterns

I have a very simple simplification to make, where I need to do a replacement but the pattern matching seems slightly awkward. I would like to simplify: ...
41 views

### How to imitate the operation law of vector

Given that $(a \times b) \cdot c=2$, now I need to find the value of $[(a+b) \times(b+c)] \cdot(c+a)$. ...
55 views

### How to simplify an expression to a variable?

So I'm doing some operations in Mathematica and I arrive to this expression: ...
34 views

### How to simplify huge expressions when the final form is known?

I am solving a system of equations of the following type: $$a_1 \cdot f[13,0] + b_1 \cdot f[13,1] + ... + k_1 \cdot f[13,11] + l_1 (d - f[13,12]) = m_1, \tag{1.1}$$ a_2 \cdot f[13,0] + b_2 \cdot ...