Algebra Examples

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

Step 1

Cancel the common factor of $x - 3$ .

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Step 1.1

Cancel the common factor.

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

Step 1.2

Rewrite the expression.

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

Step 2

Cancel the common factor of $2 x + 5$ .

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Step 2.1

Factor $2 x + 5$ out of $(2 x + 1) (2 x + 5)$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

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

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

Step 4

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

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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

Step 5

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

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Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

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