Find the Product (x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $x - 3$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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