Pre-Algebra Examples

$\frac{2 n^{2} - 2 n}{7 n - 7}$

Step 1

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

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Step 1.1

Factor $2 n$ out of $2 n^{2}$ .

$\frac{2 n (n) - 2 n}{7 n - 7}$

Step 1.2

Factor $2 n$ out of $- 2 n$ .

$\frac{2 n (n) + 2 n (- 1)}{7 n - 7}$

Step 1.3

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

$\frac{2 n (n - 1)}{7 n - 7}$

$\frac{2 n (n - 1)}{7 n - 7}$

Step 2

Factor $7$ out of $7 n - 7$ .

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Step 2.1

Factor $7$ out of $7 n$ .

$\frac{2 n (n - 1)}{7 (n) - 7}$

Step 2.2

Factor $7$ out of $- 7$ .

$\frac{2 n (n - 1)}{7 (n) + 7 (- 1)}$

Step 2.3

Factor $7$ out of $7 (n) + 7 (- 1)$ .

$\frac{2 n (n - 1)}{7 (n - 1)}$

$\frac{2 n (n - 1)}{7 (n - 1)}$

Step 3

Cancel the common factor of $n - 1$ .

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Step 3.1

Cancel the common factor.

$\frac{2 n (n - 1)}{7 (n - 1)}$

Step 3.2

Rewrite the expression.

$\frac{2 n}{7}$

$\frac{2 n}{7}$

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