Simplify x/(x-3)*(2x)/(x+5)

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

Step 1

Multiply $\frac{x}{x - 3}$ by $\frac{2 x}{x + 5}$ .

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

Step 2

Raise $x$ to the power of $1$ .

$\frac{2 (x^{1} x)}{(x - 3) (x + 5)}$

Step 3

Raise $x$ to the power of $1$ .

$\frac{2 (x^{1} x^{1})}{(x - 3) (x + 5)}$

Step 4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 x^{1 + 1}}{(x - 3) (x + 5)}$

Step 5

Add $1$ and $1$ .

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