Simplify (3x)/(x+2)*x/(x-1)

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

Step 1

Multiply $\frac{3 x}{x + 2}$ by $\frac{x}{x - 1}$ .

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

Step 2

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

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

Step 3

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

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

Step 4

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

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

Step 5

Add $1$ and $1$ .

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