Algebra Examples

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

Step 1

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

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Step 1.1

Cancel the common factor.

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

Step 1.2

Rewrite the expression.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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