Pre-Algebra Examples

$\frac{15 x^{9} + 20 x^{7} + 30}{5 x^{3}}$

Step 1

Cancel the common factor of $15 x^{9} + 20 x^{7} + 30$ and $5$ .

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Step 1.1

Factor $5$ out of $15 x^{9}$ .

$\frac{5 (3 x^{9}) + 20 x^{7} + 30}{5 x^{3}}$

Step 1.2

Factor $5$ out of $20 x^{7}$ .

$\frac{5 (3 x^{9}) + 5 (4 x^{7}) + 30}{5 x^{3}}$

Step 1.3

Factor $5$ out of $5 (3 x^{9}) + 5 (4 x^{7})$ .

$\frac{5 (3 x^{9} + 4 x^{7}) + 30}{5 x^{3}}$

Step 1.4

Factor $5$ out of $30$ .

$\frac{5 (3 x^{9} + 4 x^{7}) + 5 \cdot 6}{5 x^{3}}$

Step 1.5

Factor $5$ out of $5 (3 x^{9} + 4 x^{7}) + 5 (6)$ .

$\frac{5 (3 x^{9} + 4 x^{7} + 6)}{5 x^{3}}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

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

$\frac{5 (3 x^{9} + 4 x^{7} + 6)}{5 (x^{3})}$

Step 1.6.2

Cancel the common factor.

$\frac{5 (3 x^{9} + 4 x^{7} + 6)}{5 x^{3}}$

Step 1.6.3

Rewrite the expression.

$\frac{3 x^{9} + 4 x^{7} + 6}{x^{3}}$

Step 2

Split the fraction $\frac{3 x^{9} + 4 x^{7} + 6}{x^{3}}$ into two fractions.

$\frac{3 x^{9} + 4 x^{7}}{x^{3}} + \frac{6}{x^{3}}$

Step 3

Split the fraction $\frac{3 x^{9} + 4 x^{7}}{x^{3}}$ into two fractions.

$\frac{3 x^{9}}{x^{3}} + \frac{4 x^{7}}{x^{3}} + \frac{6}{x^{3}}$

Step 4

Cancel the common factor of $x^{9}$ and $x^{3}$ .

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Step 4.1

Factor $x^{3}$ out of $3 x^{9}$ .

$\frac{x^{3} (3 x^{6})}{x^{3}} + \frac{4 x^{7}}{x^{3}} + \frac{6}{x^{3}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{x^{3} (3 x^{6})}{x^{3} \cdot 1} + \frac{4 x^{7}}{x^{3}} + \frac{6}{x^{3}}$

Step 4.2.2

Cancel the common factor.

$\frac{x^{3} (3 x^{6})}{x^{3} \cdot 1} + \frac{4 x^{7}}{x^{3}} + \frac{6}{x^{3}}$

Step 4.2.3

Rewrite the expression.

$\frac{3 x^{6}}{1} + \frac{4 x^{7}}{x^{3}} + \frac{6}{x^{3}}$

Step 4.2.4

Divide $3 x^{6}$ by $1$ .

$3 x^{6} + \frac{4 x^{7}}{x^{3}} + \frac{6}{x^{3}}$

Step 5

Cancel the common factor of $x^{7}$ and $x^{3}$ .

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Step 5.1

Factor $x^{3}$ out of $4 x^{7}$ .

$3 x^{6} + \frac{x^{3} (4 x^{4})}{x^{3}} + \frac{6}{x^{3}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Multiply by $1$ .

$3 x^{6} + \frac{x^{3} (4 x^{4})}{x^{3} \cdot 1} + \frac{6}{x^{3}}$

Step 5.2.2

Cancel the common factor.

$3 x^{6} + \frac{x^{3} (4 x^{4})}{x^{3} \cdot 1} + \frac{6}{x^{3}}$

Step 5.2.3

Rewrite the expression.

$3 x^{6} + \frac{4 x^{4}}{1} + \frac{6}{x^{3}}$

Step 5.2.4

Divide $4 x^{4}$ by $1$ .

$3 x^{6} + 4 x^{4} + \frac{6}{x^{3}}$