Algebra Examples

$(\frac{2 x + 2}{4 x - 8}) (\frac{3 x - 6}{2 x + 2})$

Step 1

Factor $2$ out of $2 x + 2$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 2}{4 x - 8} \cdot \frac{3 x - 6}{2 x + 2}$

Step 1.2

Factor $2$ out of $2$ .

$\frac{2 (x) + 2 (1)}{4 x - 8} \cdot \frac{3 x - 6}{2 x + 2}$

Step 1.3

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

$\frac{2 (x + 1)}{4 x - 8} \cdot \frac{3 x - 6}{2 x + 2}$

Step 2

Factor $4$ out of $4 x - 8$ .

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Step 2.1

Factor $4$ out of $4 x$ .

$\frac{2 (x + 1)}{4 (x) - 8} \cdot \frac{3 x - 6}{2 x + 2}$

Step 2.2

Factor $4$ out of $- 8$ .

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

Step 2.3

Factor $4$ out of $4 x + 4 \cdot - 2$ .

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

Step 3

Factor $3$ out of $3 x - 6$ .

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Step 3.1

Factor $3$ out of $3 x$ .

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

Step 3.2

Factor $3$ out of $- 6$ .

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

Step 3.3

Factor $3$ out of $3 x + 3 \cdot - 2$ .

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

Step 4

Factor $2$ out of $2 x + 2$ .

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Step 4.1

Factor $2$ out of $2 x$ .

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

Step 4.2

Factor $2$ out of $2$ .

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

Step 4.3

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

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

Step 5

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

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Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

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

Step 6

Cancel the common factor of $x - 2$ .

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Step 6.1

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

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

Step 6.2

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

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

Step 6.3

Cancel the common factor.

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

Step 6.4

Rewrite the expression.

$\frac{1}{4} \cdot 3$

Step 7

Combine $\frac{1}{4}$ and $3$ .

$\frac{3}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$