Simplify ((2x-1)(3x+2))/((x-4)(2x+1))*(2x+1)/(2x-1)

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

Step 1

Cancel the common factor of $2 x - 1$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Cancel the common factor of $2 x + 1$ .

Factor $2 x + 1$ out of $(x - 4) (2 x + 1)$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3 x + 2}{x - 4}$