Pre-Algebra Examples

$\frac{19 x^{4} + 9 x^{3}}{3 x^{3}}$

Step 1

Factor $x^{3}$ out of $19 x^{4} + 9 x^{3}$ .

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Step 1.1

Factor $x^{3}$ out of $19 x^{4}$ .

$\frac{x^{3} (19 x) + 9 x^{3}}{3 x^{3}}$

Step 1.2

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

$\frac{x^{3} (19 x) + x^{3} \cdot 9}{3 x^{3}}$

Step 1.3

Factor $x^{3}$ out of $x^{3} (19 x) + x^{3} \cdot 9$ .

$\frac{x^{3} (19 x + 9)}{3 x^{3}}$

Step 2

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

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Step 2.1

Cancel the common factor.

$\frac{x^{3} (19 x + 9)}{3 x^{3}}$

Step 2.2

Rewrite the expression.

$\frac{19 x + 9}{3}$

Step 3

Split the fraction $\frac{19 x + 9}{3}$ into two fractions.

$\frac{19 x}{3} + \frac{9}{3}$

Step 4

Divide $9$ by $3$ .

$\frac{19 x}{3} + 3$