# Questions tagged [algebraic-manipulation]

The art of manipulating an algebraic expression into the desired form.

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### derivative like operator

assuming I have a derivative operator $\partial$, and a function $f$ and $g$ I want $\partial$ to stick to whatever is in front of it and don't need to do anything else after the computation, the ...
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### Simplify radical expression (a + b - Sqrt[a^2 - b^2])/Sqrt[a + b]

I have the following expansions: $\frac{a+b-\sqrt{a^2-b^2}}{\sqrt{a+b}}$ and $a>b>0$ Obviously we can simplify it further by hand $\sqrt{a+b}-\sqrt{a-b}$, but Mathematica doesn't know how to ...
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### Computing the sign of an expression

Can you please help with the following. I would like to compute the sign of an expression: ...
30 views

### Perform Eliminate, Solve and Format at once in Mathematica

I have a series of equations where I use eliminate to get a new equation with desired variables. This equation is then solved for a specific variable and then the result is presented in a specific ...
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### Extracting coefficients from equation [closed]

I am looking for a Mathematica code that finds the coefficients from an equation. So for example, when I have the equation $ax^2+bx+c$ I want to the code to spit out: ...
87 views

### numerical values of coefficients

Consider the following output: x= (Sqrt[3/(2 (1 + Sqrt/4))] b[0, π/3] - (1 + Sqrt[7/3]) b[(2 π)/3, (2 π)/3])/(4 Sqrt 7^(1/4) Sqrt[1 + Sqrt/4]) If i do <...
How can I factor terms with variable coefficients? For example for the expression: $x^2 + a$ I know that I can factor this to: $(x+i\sqrt{a})(x -i\sqrt{a})$ How do I do this in mathematica? I would'...