Algebra Examples

$\frac{8}{x^{2} + 6 x} \cdot 2 x$

Step 1

Rewrite using the commutative property of multiplication.

$2 \frac{8}{x^{2} + 6 x} x$

Step 2

Factor $x$ out of $x^{2} + 6 x$ .

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Step 2.1

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

$2 \frac{8}{x \cdot x + 6 x} x$

Step 2.2

Factor $x$ out of $6 x$ .

$2 \frac{8}{x \cdot x + x \cdot 6} x$

Step 2.3

Factor $x$ out of $x \cdot x + x \cdot 6$ .

$2 \frac{8}{x (x + 6)} x$

$2 \frac{8}{x (x + 6)} x$

Step 3

Multiply $2 \frac{8}{x (x + 6)}$ .

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Step 3.1

Combine $2$ and $\frac{8}{x (x + 6)}$ .

$\frac{2 \cdot 8}{x (x + 6)} x$

Step 3.2

Multiply $2$ by $8$ .

$\frac{16}{x (x + 6)} x$

$\frac{16}{x (x + 6)} x$

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

$\frac{16}{x (x + 6)} x$

Step 4.2

Rewrite the expression.

$\frac{16}{x + 6}$

$\frac{16}{x + 6}$

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