Algebra Examples

$\frac{13 x^{3}}{x^{3} - 2} - \frac{26}{x^{3} - 2}$

Step 1

Combine the numerators over the common denominator.

$\frac{13 x^{3} - 26}{x^{3} - 2}$

Step 2

Factor $13$ out of $13 x^{3} - 26$ .

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Step 2.1

Factor $13$ out of $13 x^{3}$ .

$\frac{13 (x^{3}) - 26}{x^{3} - 2}$

Step 2.2

Factor $13$ out of $- 26$ .

$\frac{13 x^{3} + 13 \cdot - 2}{x^{3} - 2}$

Step 2.3

Factor $13$ out of $13 x^{3} + 13 \cdot - 2$ .

$\frac{13 (x^{3} - 2)}{x^{3} - 2}$

Step 3

Cancel the common factor of $x^{3} - 2$ .

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Step 3.1

Cancel the common factor.

$\frac{13 (x^{3} - 2)}{x^{3} - 2}$

Step 3.2

Divide $13$ by $1$ .

$13$