Algebra Examples

$\frac{7 v}{7 v^{2} + 56 v} (v - 2)$

Step 1

Factor $7 v$ out of $7 v^{2} + 56 v$ .

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Step 1.1

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

$\frac{7 v}{7 v (v) + 56 v} \cdot (v - 2)$

Step 1.2

Factor $7 v$ out of $56 v$ .

$\frac{7 v}{7 v (v) + 7 v (8)} \cdot (v - 2)$

Step 1.3

Factor $7 v$ out of $7 v (v) + 7 v (8)$ .

$\frac{7 v}{7 v (v + 8)} \cdot (v - 2)$

$\frac{7 v}{7 v (v + 8)} \cdot (v - 2)$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Cancel the common factor.

$\frac{7 v}{7 v (v + 8)} \cdot (v - 2)$

Step 2.2

Rewrite the expression.

$\frac{v}{v (v + 8)} \cdot (v - 2)$

$\frac{v}{v (v + 8)} \cdot (v - 2)$

Step 3

Cancel the common factor of $v$ .

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Step 3.1

Cancel the common factor.

$\frac{v}{v (v + 8)} \cdot (v - 2)$

Step 3.2

Rewrite the expression.

$\frac{1}{v + 8} \cdot (v - 2)$

$\frac{1}{v + 8} \cdot (v - 2)$

Step 4

Multiply $\frac{1}{v + 8}$ by $v - 2$ .

$\frac{v - 2}{v + 8}$

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