Algebra Examples

$\frac{6 x + 18}{3 x + 9}$

Step 1

Cancel the common factor of $6 x + 18$ and $3 x + 9$ .

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Step 1.1

Factor $3$ out of $6 x$ .

$\frac{3 (2 x) + 18}{3 x + 9}$

Step 1.2

Factor $3$ out of $18$ .

$\frac{3 (2 x) + 3 \cdot 6}{3 x + 9}$

Step 1.3

Factor $3$ out of $3 (2 x) + 3 (6)$ .

$\frac{3 (2 x + 6)}{3 x + 9}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $3$ out of $3 x$ .

$\frac{3 (2 x + 6)}{3 (x) + 9}$

Step 1.4.2

Factor $3$ out of $9$ .

$\frac{3 (2 x + 6)}{3 x + 3 \cdot 3}$

Step 1.4.3

Factor $3$ out of $3 x + 3 \cdot 3$ .

$\frac{3 (2 x + 6)}{3 (x + 3)}$

Step 1.4.4

Cancel the common factor.

$\frac{3 (2 x + 6)}{3 (x + 3)}$

Step 1.4.5

Rewrite the expression.

$\frac{2 x + 6}{x + 3}$

$\frac{2 x + 6}{x + 3}$

$\frac{2 x + 6}{x + 3}$

Step 2

Factor $2$ out of $2 x + 6$ .

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Step 2.1

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 6}{x + 3}$

Step 2.2

Factor $2$ out of $6$ .

$\frac{2 x + 2 \cdot 3}{x + 3}$

Step 2.3

Factor $2$ out of $2 x + 2 \cdot 3$ .

$\frac{2 (x + 3)}{x + 3}$

$\frac{2 (x + 3)}{x + 3}$

Step 3

Cancel the common factor of $x + 3$ .

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Step 3.1

Cancel the common factor.

$\frac{2 (x + 3)}{x + 3}$

Step 3.2

Divide $2$ by $1$ .

$2$

$2$

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