Pre-Algebra Examples

$\frac{9 x + 12}{(2 x + 3) (x - 5)}$

Step 1

Factor $3$ out of $9 x + 12$ .

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Step 1.1

Factor $3$ out of $9 x$ .

$\frac{3 (3 x) + 12}{(2 x + 3) (x - 5)}$

Step 1.2

Factor $3$ out of $12$ .

$\frac{3 (3 x) + 3 (4)}{(2 x + 3) (x - 5)}$

Step 1.3

Factor $3$ out of $3 (3 x) + 3 (4)$ .

$\frac{3 (3 x + 4)}{(2 x + 3) (x - 5)}$

Step 2

Apply the distributive property.

$\frac{3 (3 x) + 3 \cdot 4}{(2 x + 3) (x - 5)}$

Step 3

Multiply $3$ by $3$ .

$\frac{9 x + 3 \cdot 4}{(2 x + 3) (x - 5)}$

Step 4

Multiply $3$ by $4$ .

$\frac{9 x + 12}{(2 x + 3) (x - 5)}$

Step 5

Split the fraction $\frac{9 x + 12}{(2 x + 3) (x - 5)}$ into two fractions.

$\frac{9 x}{(2 x + 3) (x - 5)} + \frac{12}{(2 x + 3) (x - 5)}$