Algebra Examples

$\frac{2 x + 12}{3 x - 9} \cdot \frac{2 x - 6}{3 x + 8}$

Step 1

Factor $2$ out of $2 x + 12$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 12}{3 x - 9} \cdot \frac{2 x - 6}{3 x + 8}$

Step 1.2

Factor $2$ out of $12$ .

$\frac{2 x + 2 \cdot 6}{3 x - 9} \cdot \frac{2 x - 6}{3 x + 8}$

Step 1.3

Factor $2$ out of $2 x + 2 \cdot 6$ .

$\frac{2 (x + 6)}{3 x - 9} \cdot \frac{2 x - 6}{3 x + 8}$

Step 2

Factor $3$ out of $3 x - 9$ .

Tap for more steps...

Step 2.1

Factor $3$ out of $3 x$ .

$\frac{2 (x + 6)}{3 (x) - 9} \cdot \frac{2 x - 6}{3 x + 8}$

Step 2.2

Factor $3$ out of $- 9$ .

$\frac{2 (x + 6)}{3 x + 3 \cdot - 3} \cdot \frac{2 x - 6}{3 x + 8}$

Step 2.3

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

$\frac{2 (x + 6)}{3 (x - 3)} \cdot \frac{2 x - 6}{3 x + 8}$

Step 3

Factor $2$ out of $2 x - 6$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $2 x$ .

$\frac{2 (x + 6)}{3 (x - 3)} \cdot \frac{2 (x) - 6}{3 x + 8}$

Step 3.2

Factor $2$ out of $- 6$ .

$\frac{2 (x + 6)}{3 (x - 3)} \cdot \frac{2 x + 2 \cdot - 3}{3 x + 8}$

Step 3.3

Factor $2$ out of $2 x + 2 \cdot - 3$ .

$\frac{2 (x + 6)}{3 (x - 3)} \cdot \frac{2 (x - 3)}{3 x + 8}$

Step 4

Cancel the common factor of $x - 3$ .

Tap for more steps...

Step 4.1

Factor $x - 3$ out of $3 (x - 3)$ .

$\frac{2 (x + 6)}{(x - 3) \cdot 3} \cdot \frac{2 (x - 3)}{3 x + 8}$

Step 4.2

Factor $x - 3$ out of $2 (x - 3)$ .

$\frac{2 (x + 6)}{(x - 3) \cdot 3} \cdot \frac{(x - 3) \cdot 2}{3 x + 8}$

Step 4.3

Cancel the common factor.

$\frac{2 (x + 6)}{(x - 3) \cdot 3} \cdot \frac{(x - 3) \cdot 2}{3 x + 8}$

Step 4.4

Rewrite the expression.

$\frac{2 (x + 6)}{3} \cdot \frac{2}{3 x + 8}$

Step 5

Multiply $\frac{2 (x + 6)}{3}$ by $\frac{2}{3 x + 8}$ .

$\frac{2 (x + 6) \cdot 2}{3 (3 x + 8)}$

Step 6

Multiply $2$ by $2$ .

$\frac{4 (x + 6)}{3 (3 x + 8)}$