Algebra Examples

$\frac{12 {(x - 2)}^{2}}{6 (x - 2) (x + 5)}$

Step 1

Cancel the common factor of $12$ and $6$ .

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Step 1.1

Factor $6$ out of $12 {(x - 2)}^{2}$ .

$\frac{6 (2 {(x - 2)}^{2})}{6 (x - 2) (x + 5)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $6$ out of $6 (x - 2) (x + 5)$ .

$\frac{6 (2 {(x - 2)}^{2})}{6 ((x - 2) (x + 5))}$

Step 1.2.2

Cancel the common factor.

$\frac{6 (2 {(x - 2)}^{2})}{6 ((x - 2) (x + 5))}$

Step 1.2.3

Rewrite the expression.

$\frac{2 {(x - 2)}^{2}}{(x - 2) (x + 5)}$

$\frac{2 {(x - 2)}^{2}}{(x - 2) (x + 5)}$

$\frac{2 {(x - 2)}^{2}}{(x - 2) (x + 5)}$

Step 2

Cancel the common factor of ${(x - 2)}^{2}$ and $x - 2$ .

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Step 2.1

Factor $x - 2$ out of $2 {(x - 2)}^{2}$ .

$\frac{(x - 2) (2 (x - 2))}{(x - 2) (x + 5)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Cancel the common factor.

$\frac{(x - 2) (2 (x - 2))}{(x - 2) (x + 5)}$

Step 2.2.2

Rewrite the expression.

$\frac{2 (x - 2)}{x + 5}$

$\frac{2 (x - 2)}{x + 5}$

$\frac{2 (x - 2)}{x + 5}$

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