Basic Math Examples

$\frac{25 v^{3} - 15 v^{7} + 30 v^{9}}{5 v^{3}}$

Step 1

Factor $5 v^{3}$ out of $25 v^{3} - 15 v^{7} + 30 v^{9}$ .

Tap for more steps...

Step 1.1

Factor $5 v^{3}$ out of $25 v^{3}$ .

$\frac{5 v^{3} (5) - 15 v^{7} + 30 v^{9}}{5 v^{3}}$

Step 1.2

Factor $5 v^{3}$ out of $- 15 v^{7}$ .

$\frac{5 v^{3} (5) + 5 v^{3} (- 3 v^{4}) + 30 v^{9}}{5 v^{3}}$

Step 1.3

Factor $5 v^{3}$ out of $30 v^{9}$ .

$\frac{5 v^{3} (5) + 5 v^{3} (- 3 v^{4}) + 5 v^{3} (6 v^{6})}{5 v^{3}}$

Step 1.4

Factor $5 v^{3}$ out of $5 v^{3} (5) + 5 v^{3} (- 3 v^{4})$ .

$\frac{5 v^{3} (5 - 3 v^{4}) + 5 v^{3} (6 v^{6})}{5 v^{3}}$

Step 1.5

Factor $5 v^{3}$ out of $5 v^{3} (5 - 3 v^{4}) + 5 v^{3} (6 v^{6})$ .

$\frac{5 v^{3} (5 - 3 v^{4} + 6 v^{6})}{5 v^{3}}$

Step 2

Cancel the common factor of $5$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{5 v^{3} (5 - 3 v^{4} + 6 v^{6})}{5 v^{3}}$

Step 2.2

Rewrite the expression.

$\frac{v^{3} (5 - 3 v^{4} + 6 v^{6})}{v^{3}}$

Step 3

Cancel the common factor of $v^{3}$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{v^{3} (5 - 3 v^{4} + 6 v^{6})}{v^{3}}$

Step 3.2

Divide $5 - 3 v^{4} + 6 v^{6}$ by $1$ .

$5 - 3 v^{4} + 6 v^{6}$