Algebra Examples

$\frac{4 m n - 8 m^{2} n - 2 m n}{2 m n}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $2 m n$ from $4 m n$ .

$\frac{2 m n - 8 m^{2} n}{2 m n}$

Step 1.2

Factor $2 m n$ out of $2 m n - 8 m^{2} n$ .

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Step 1.2.1

Factor $2 m n$ out of $2 m n$ .

$\frac{2 m n (1) - 8 m^{2} n}{2 m n}$

Step 1.2.2

Factor $2 m n$ out of $- 8 m^{2} n$ .

$\frac{2 m n (1) + 2 m n (- 4 m)}{2 m n}$

Step 1.2.3

Factor $2 m n$ out of $2 m n (1) + 2 m n (- 4 m)$ .

$\frac{2 m n (1 - 4 m)}{2 m n}$

$\frac{2 m n (1 - 4 m)}{2 m n}$

$\frac{2 m n (1 - 4 m)}{2 m n}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\frac{2 m n (1 - 4 m)}{2 m n}$

Step 2.2

Rewrite the expression.

$\frac{m n (1 - 4 m)}{m n}$

$\frac{m n (1 - 4 m)}{m n}$

Step 3

Cancel the common factor of $m$ .

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Step 3.1

Cancel the common factor.

$\frac{m n (1 - 4 m)}{m n}$

Step 3.2

Rewrite the expression.

$\frac{n (1 - 4 m)}{n}$

$\frac{n (1 - 4 m)}{n}$

Step 4

Cancel the common factor of $n$ .

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Step 4.1

Cancel the common factor.

$\frac{n (1 - 4 m)}{n}$

Step 4.2

Divide $1 - 4 m$ by $1$ .

$1 - 4 m$

$1 - 4 m$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$