**1.217 simplifying-expressions questions.**

I have an equation that Mathematica really wants to display as
$$\frac{1}{4\pi G} \bigg( 4\pi G A + 4\pi G B\bigg)$$
where $A$ and $B$ are some terms and $G$ a constant.
No amount of ...

In my notebook, I obtain an expression that I can't figure out how to reduce to it's simplest form. I've recreated it below to show what I am trying to simplify.
...

I have some involved complex expressions, relying upon constants and the variables t, C[i],$i=1,2,3$.
Using Refine, I try to ...

I was coding up some bounds propagation in some constraint satisfaction code I was playing with and decided to see if Mathematica could simplify an expression involving Min and Max. I extracted the ...

I have the following expressionF[p1, p2] a[p1] ** b[p2] - F[p1, p2] a[p2] ** b[p1]where ** is the non-commutative ...

Mathematica gave me a solution to an equation in this form:ans1 = (b c)/(a - a c + b c)$\text{ans1} = \frac{b c}{a - a c + b c}$
From solving the same equation ...

Consider the expressionexpr = E^x Sqrt[1 - E^(-4 x)] - Sqrt[-E^(-2 x) + E^(2 x)]At least for x>0 I would expect this to ...

Is it possible to remove a term which includes a defined variable from an equation?
my equation is something like:
...

I have a complex but analytical expression that should always evaluate to zero for certain values, but I'm getting strange numerical noise I think I can avoid. The problem seems to occur in a ...

Background : If $H$ is a Hermitian matrix, then for any complex vector $\psi$ it holds that $\psi^* \cdot H\cdot \psi$ gives a real number.
The problem
I am creating a 16x16 Hermitian matrix in ...

RSolve yields a large (multi-page) solution (LeafCount=25891) containing a number of 7F6 (and higher) hypergeometric functions when applied to
...

I'm trying to take a (-1) from a power to 3/2 as this:Simplify[(-(a))^(3/2) - ((-1)^(3/2) (a)^(3/2)), a > 0]I get as a result as expected 0. But when I try ...

In the following expression, how can I group apart the terms in the exponential with a and b coefficients so that I can express ...

I'm having trouble simplifying (a family of) complicated rational expressions. For instance, I obtained the following
$$
expr=\frac{\sqrt{3} \left(\frac{\sqrt{\frac{\tau ^3 (\tau +2) (\lambda -\tau +...

I evaluate the following summation using mma (Version: 11.2.0.0):
$$\sum_{i=1}^{n-k+1} i \binom{n-i}{k-1}$$
...

I have a Mathematica code that generates a complicated output that runs into more than 200+ lines of output. Here is my code:
...

I have this expression2 Csc[2 y[x2]] Sech[x[x2]]^2 (Cos[y[x2]]^4 Cosh[x[x2]]^8 Sin[y[x2]]^4)^(1/4)which is 1. But Mathematica doesn't do the simplification. I ...

I can't get Mathematica to simplify this as I expect it would/should:
...

I have a function f[t] and I'm really hoping this question has an answer treating this simply as a formal function, and not requiring the input of its closed form. ...

I would like to evaluate this summation:
\begin{align}
\sum_{j=1}^{NM}\left[(u_{j_x} + u_{j_y})^2 - 2(1-\rho) u_{j_x} u_{j_y}\right],
\end{align}
where $NM$ is some number greater than or equal to $...

I am given a solution $v_1$(t)=$-e^{t/2}cost$ for a system of first order ODE and I am asked to verify this solution can solves the linear second order ODE in terms of $y_1$(t)
Here is the matrix ...

I have some long expressions with square roots in them, but I know that if I can simplify these expressions, the result shouldn't have square roots. But Mathematica is not able to simplify these ...

Integrate the Fejér kernel from 0 to $\pi\,,$ will get $\pi\,,$ which can be written as
$$\int_0^\pi \left( \frac{\sin(nt/2)}{\sin(t/2)} \right)^2 \,dt = n\pi$$
We can simply verify the equation by
...

today I tried to simplify the following expression:
...

I am new to Mathematica, and I am trying to simplify this expression when Y=1 and Y1 -> ∞...

I'm trying to simplify some expressions containing square roots, yet it seems that Mathematica has trouble dealing with them. For instance, consider the following:
...

I want to expand this:FullSimplify[Abs[1 - Abs[x]], x \[Element] Reals]how can I do this? Evidently this function can be presented as
...

I am trying to understand how assumptions and simplification works with this simple example:
x+y=5, assume x = 2y
So I write:
...

After some computations I end up with the following expression:Sqrt[Exp[-z/(4*Sqrt[2])]] Sqrt[Exp[z/(4*Sqrt[2])]]where $z$ is actually complex.
For reasons I ...

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c
$A=\frac{1}{4} \sqrt{(-a+b+c) (a+b-c) (a-b+c) (a+b+c)}$
if p is the ...

I feel like I'm missing something very simple. I tried searching for similar answers, because I'm sure I'm not the first to as this question, but I had no luck (perhaps I'm missing the correct search ...

I am experiencing a curious behaviour of Simplify when handling expressions involving powers of $\mathbf{i}$, such as $\mathbf{i}^x$ where $x$ is unknown.
For ...

a = 1/6 Log[x + 1] - 1/6 Log[x - 1]
b = 1/6 Log[(x + 1)/(x - 1)]
a == ba and b should be ...

Bug introduced in 9.0 or earlier and persisting through 11.2 or later
Why does this strange behavior occur when dealing with units and quantities?
...

I want to collect terms in simple polynomial.
First I evaluateNormal[Series[Sin[x], {x, 2, 7}]]which gives
...

I want to simplify a sum of terms that look like so:
...

Say we have something like
$$ \sum_{p}^N\sum_{q}^N \cos(p) \sin(q) - \cos(q)\sin(p) $$
usually, in the case like this, the indices p and q can be swapped, and the sum simplifies to 0.
I have an ...

As parts of my computations, I use InverseLaplaceTransform for some symbolic expressions. As an example, when I have the following transformation for sum of two ...

I would like to compare my Mathematica calulations with the results from a paper.
I get:
...

I've just started to work in Mathematica with matrices. Until now I've just managed to perform operation between particular matrix. I wonder if it is possible to specify a class of matrixes, for ...

Why doesn't Mathematica simplify the following expression:FullSimplify[KroneckerDelta[x,y]^3]Since KroneckerDelta only ...

Bug introduced in 8.0 or earlier and fixed in 9.0
I have:
...

Is it possible to directly factor out some exponent to some specific form and replace by some rule?
For example I have exp1=x^4I want to use replacement <...

I have a big matrix with 8 by 8 and each of element is a polynomial function with regard to w. I need to calculate det[Matrix-identitymatrix], but since the large calculation, Mathematica cannot ...

I use xTensor to perform some tensor calculations
...

I want Mathematica to simplify my expression using MySymmetricFunction[x,y] = MySymmetricFunction[y,x], so that
...

Consider this series $I_n$:
$$I_n = \int\limits_0^{\pi/4} \tan^{2n}(x)\ dx$$
How do I use Mathematica to simplify $I_n + I_{n+1}$ as a function of $n$?

I read a lot of old posts but still couldn't make it work. Hope someone could help me out. I am trying to simplify a square root expression with an assumption that all variables are positive reals. ...

- assumptions
- symbolic
- complex
- equation-solving
- trigonometry
- expression-manipulation
- calculus-and-analysis
- algebraic-manipulation
- special-functions
- replacement
- summation
- functions
- series-expansion
- factorization
- differential-equations
- matrix
- polynomials
- evaluation
- bugs
- inequalities
- performance-tuning
- linear-algebra
- pattern-matching
- vector
- tensors

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