Basic Math Examples

$\frac{8 v^{2} - 72 v}{40 v^{3}}$

Step 1

Factor $8 v$ out of $8 v^{2} - 72 v$ .

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Step 1.1

Factor $8 v$ out of $8 v^{2}$ .

$\frac{8 v (v) - 72 v}{40 v^{3}}$

Step 1.2

Factor $8 v$ out of $- 72 v$ .

$\frac{8 v (v) + 8 v (- 9)}{40 v^{3}}$

Step 1.3

Factor $8 v$ out of $8 v (v) + 8 v (- 9)$ .

$\frac{8 v (v - 9)}{40 v^{3}}$

$\frac{8 v (v - 9)}{40 v^{3}}$

Step 2

Cancel the common factor of $8$ and $40$ .

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Step 2.1

Factor $8$ out of $8 v (v - 9)$ .

$\frac{8 (v (v - 9))}{40 v^{3}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $40 v^{3}$ .

$\frac{8 (v (v - 9))}{8 (5 v^{3})}$

Step 2.2.2

Cancel the common factor.

$\frac{8 (v (v - 9))}{8 (5 v^{3})}$

Step 2.2.3

Rewrite the expression.

$\frac{v (v - 9)}{5 v^{3}}$

$\frac{v (v - 9)}{5 v^{3}}$

$\frac{v (v - 9)}{5 v^{3}}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $v$ out of $5 v^{3}$ .

$\frac{v (v - 9)}{v (5 v^{2})}$

Step 3.2

Cancel the common factor.

$\frac{v (v - 9)}{v (5 v^{2})}$

Step 3.3

Rewrite the expression.

$\frac{v - 9}{5 v^{2}}$

$\frac{v - 9}{5 v^{2}}$

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