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# Special Quotients Calculator

## Get detailed solutions to your math problems with our Special Quotients step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of special quotients. This solution was automatically generated by our smart calculator:

$\frac{m^2-n^2}{m+n}$

Simplify $\sqrt{m^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

$\frac{\left(m+\sqrt{1n^2}\right)\left(\sqrt{m^2}-\sqrt{1n^2}\right)}{m+n}$

Any expression multiplied by $1$ is equal to itself

$\frac{\left(m+\sqrt{n^2}\right)\left(\sqrt{m^2}-\sqrt{1n^2}\right)}{m+n}$

Simplify $\sqrt{n^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

$\frac{\left(m+n\right)\left(\sqrt{m^2}-\sqrt{1n^2}\right)}{m+n}$

Any expression multiplied by $1$ is equal to itself

$\frac{\left(m+n\right)\left(\sqrt{m^2}-\sqrt{n^2}\right)}{m+n}$

Simplify $\sqrt{m^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

$\frac{\left(m+n\right)\left(m-\sqrt{n^2}\right)}{m+n}$

Simplify $\sqrt{n^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

$\frac{\left(m+n\right)\left(m-n\right)}{m+n}$
2

Factor the difference of squares $m^2-n^2$ as the product of two conjugated binomials

$\frac{\left(m+n\right)\left(m-n\right)}{m+n}$
3

Simplify the fraction $\frac{\left(m+n\right)\left(m-n\right)}{m+n}$ by $m+n$

$m-n$

##  Final answer to the problem

$m-n$

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