Algebra Examples

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

Step 1

Cancel the common factor of $x + 3$ .

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Step 1.1

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

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

Step 1.2

Cancel the common factor.

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

Step 1.3

Rewrite the expression.

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

Step 2

Multiply $\frac{1}{4}$ by $\frac{3 (x - 6)}{3}$ .

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

Step 3

Multiply $4$ by $3$ .

$\frac{3 (x - 6)}{12}$

Step 4

Cancel the common factors.

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Step 4.1

Factor $3$ out of $12$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$\frac{x - 6}{4}$