Algebra Examples

$\frac{{(c + 2)}^{2}}{7 c^{2} + 14 c}$

Step 1

Factor $7 c$ out of $7 c^{2} + 14 c$ .

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Step 1.1

Factor $7 c$ out of $7 c^{2}$ .

$\frac{{(c + 2)}^{2}}{7 c (c) + 14 c}$

Step 1.2

Factor $7 c$ out of $14 c$ .

$\frac{{(c + 2)}^{2}}{7 c (c) + 7 c (2)}$

Step 1.3

Factor $7 c$ out of $7 c (c) + 7 c (2)$ .

$\frac{{(c + 2)}^{2}}{7 c (c + 2)}$

$\frac{{(c + 2)}^{2}}{7 c (c + 2)}$

Step 2

Cancel the common factor of ${(c + 2)}^{2}$ and $c + 2$ .

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Step 2.1

Factor $c + 2$ out of ${(c + 2)}^{2}$ .

$\frac{(c + 2) (c + 2)}{7 c (c + 2)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $c + 2$ out of $7 c (c + 2)$ .

$\frac{(c + 2) (c + 2)}{(c + 2) (7 c)}$

Step 2.2.2

Cancel the common factor.

$\frac{(c + 2) (c + 2)}{(c + 2) (7 c)}$

Step 2.2.3

Rewrite the expression.

$\frac{c + 2}{7 c}$

$\frac{c + 2}{7 c}$

$\frac{c + 2}{7 c}$

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