Simplify ((2x-5)(2x-3))/((4x+3)(2x-1))*(4x+3)/(4x-6)

$\frac{(2 x - 5) (2 x - 3)}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{4 x - 6}$

Factor $2$ out of $4 x - 6$ .

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Factor $2$ out of $4 x$ .

$\frac{(2 x - 5) (2 x - 3)}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{2 (2 x) - 6}$

Factor $2$ out of $- 6$ .

$\frac{(2 x - 5) (2 x - 3)}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{2 (2 x) + 2 (- 3)}$

Factor $2$ out of $2 (2 x) + 2 (- 3)$ .

$\frac{(2 x - 5) (2 x - 3)}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{2 (2 x - 3)}$

Cancel the common factor of $2 x - 3$ .

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Factor $2 x - 3$ out of $(2 x - 5) (2 x - 3)$ .

$\frac{(2 x - 3) (2 x - 5)}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{2 (2 x - 3)}$

Factor $2 x - 3$ out of $2 (2 x - 3)$ .

$\frac{(2 x - 3) (2 x - 5)}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{(2 x - 3) \cdot 2}$

Cancel the common factor.

$\frac{(2 x - 3) (2 x - 5)}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{(2 x - 3) \cdot 2}$

Rewrite the expression.

$\frac{2 x - 5}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{2}$

Cancel the common factor of $4 x + 3$ .

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Cancel the common factor.

$\frac{2 x - 5}{(4 x + 3) (2 x - 1)} \cdot \frac{4 x + 3}{2}$

Rewrite the expression.

$\frac{2 x - 5}{2 x - 1} \cdot \frac{1}{2}$

Multiply $\frac{2 x - 5}{2 x - 1}$ and $\frac{1}{2}$ .

$\frac{2 x - 5}{(2 x - 1) \cdot 2}$

Move $2$ to the left of $2 x - 1$ .

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

Simplify ((2x-5)(2x-3))/((4x+3)(2x-1))*(4x+3)/(4x-6)

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