Pre-Algebra Examples

$\frac{5 x - 5}{20 x^{3} - 35 + 18}$

Step 1

Factor $5$ out of $5 x - 5$ .

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Step 1.1

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 5}{20 x^{3} - 35 + 18}$

Step 1.2

Factor $5$ out of $- 5$ .

$\frac{5 (x) + 5 (- 1)}{20 x^{3} - 35 + 18}$

Step 1.3

Factor $5$ out of $5 (x) + 5 (- 1)$ .

$\frac{5 (x - 1)}{20 x^{3} - 35 + 18}$

Step 2

Add $- 35$ and $18$ .

$\frac{5 (x - 1)}{20 x^{3} - 17}$

Step 3

Apply the distributive property.

$\frac{5 x + 5 \cdot - 1}{20 x^{3} - 17}$

Step 4

Multiply $5$ by $- 1$ .

$\frac{5 x - 5}{20 x^{3} - 17}$

Step 5

Split the fraction $\frac{5 x - 5}{20 x^{3} - 17}$ into two fractions.

$\frac{5 x}{20 x^{3} - 17} + \frac{- 5}{20 x^{3} - 17}$

Step 6

Move the negative in front of the fraction.

$\frac{5 x}{20 x^{3} - 17} - \frac{5}{20 x^{3} - 17}$