Simplify (21x+12)/(7x+4)*1/(x-2)

$\frac{21 x + 12}{7 x + 4} \cdot \frac{1}{x - 2}$

Step 1

Factor $3$ out of $21 x + 12$ .

Factor $3$ out of $21 x$ .

$\frac{3 (7 x) + 12}{7 x + 4} \cdot \frac{1}{x - 2}$

Factor $3$ out of $12$ .

$\frac{3 (7 x) + 3 (4)}{7 x + 4} \cdot \frac{1}{x - 2}$

Factor $3$ out of $3 (7 x) + 3 (4)$ .

$\frac{3 (7 x + 4)}{7 x + 4} \cdot \frac{1}{x - 2}$

Step 2

Cancel the common factor of $7 x + 4$ .

Cancel the common factor.

$\frac{3 (7 x + 4)}{7 x + 4} \cdot \frac{1}{x - 2}$

Divide $3$ by $1$ .

$3 \cdot \frac{1}{x - 2}$

Step 3

Combine $3$ and $\frac{1}{x - 2}$ .

$\frac{3}{x - 2}$