Pre-Algebra Examples

$\frac{3 x - 21}{x^{3} - 2 x - 35}$

Step 1

Factor $3$ out of $3 x - 21$ .

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Step 1.1

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 21}{x^{3} - 2 x - 35}$

Step 1.2

Factor $3$ out of $- 21$ .

$\frac{3 x + 3 \cdot - 7}{x^{3} - 2 x - 35}$

Step 1.3

Factor $3$ out of $3 x + 3 \cdot - 7$ .

$\frac{3 (x - 7)}{x^{3} - 2 x - 35}$

Step 2

Apply the distributive property.

$\frac{3 x + 3 \cdot - 7}{x^{3} - 2 x - 35}$

Step 3

Multiply $3$ by $- 7$ .

$\frac{3 x - 21}{x^{3} - 2 x - 35}$

Step 4

Split the fraction $\frac{3 x - 21}{x^{3} - 2 x - 35}$ into two fractions.

$\frac{3 x}{x^{3} - 2 x - 35} + \frac{- 21}{x^{3} - 2 x - 35}$

Step 5

Move the negative in front of the fraction.

$\frac{3 x}{x^{3} - 2 x - 35} - \frac{21}{x^{3} - 2 x - 35}$