Simplify (4(x+6))/(x-2)*(x+10)/(24(x+6))

$\frac{4 (x + 6)}{(x - 2)} \cdot \frac{(x + 10)}{24 (x + 6)}$

Cancel the common factor of $4 (x + 6)$ .

Factor $4 (x + 6)$ out of $24 (x + 6)$ .

$\frac{4 (x + 6)}{x - 2} \cdot \frac{x + 10}{4 (x + 6) (6)}$

Cancel the common factor.

$\frac{4 (x + 6)}{x - 2} \cdot \frac{x + 10}{4 (x + 6) \cdot 6}$

Rewrite the expression.

$\frac{1}{x - 2} \cdot \frac{x + 10}{6}$

Multiply $\frac{1}{x - 2}$ by $\frac{x + 10}{6}$ .

$\frac{x + 10}{(x - 2) \cdot 6}$

Move $6$ to the left of $x - 2$ .

$\frac{x + 10}{6 (x - 2)}$