Algebra Examples

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

Step 1

Cancel the common factor of $x^{2}$ .

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Step 1.1

Factor $x^{2}$ out of $x^{3}$ .

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

Step 1.2

Cancel the common factor.

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

Step 1.3

Rewrite the expression.

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

Step 2

Cancel the common factor of $x - 3$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

Multiply $x - 4$ by $\frac{x + 6}{x}$ .

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