Simplify (5x-15)/(4x^2)*(x^3)/(6x-18)

$\frac{5 x - 15}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$

Step 1

Simplify terms.

Factor $5$ out of $5 x - 15$ .

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 15}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$

Factor $5$ out of $- 15$ .

$\frac{5 x + 5 \cdot - 3}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$

Factor $5$ out of $5 x + 5 \cdot - 3$ .

$\frac{5 (x - 3)}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$

Factor $6$ out of $6 x - 18$ .

Factor $6$ out of $6 x$ .

$\frac{5 (x - 3)}{4 x^{2}} \cdot \frac{x^{3}}{6 (x) - 18}$

Factor $6$ out of $- 18$ .

$\frac{5 (x - 3)}{4 x^{2}} \cdot \frac{x^{3}}{6 x + 6 \cdot - 3}$

Factor $6$ out of $6 x + 6 \cdot - 3$ .

$\frac{5 (x - 3)}{4 x^{2}} \cdot \frac{x^{3}}{6 (x - 3)}$

Combine.

$\frac{5 (x - 3) x^{3}}{4 x^{2} (6 (x - 3))}$

Cancel the common factor of $x - 3$ .

Cancel the common factor.

$\frac{5 (x - 3) x^{3}}{4 x^{2} (6 (x - 3))}$

Rewrite the expression.

$\frac{5 x^{3}}{4 x^{2} \cdot (6)}$

Cancel the common factor of $x^{3}$ and $x^{2}$ .

Factor $x^{2}$ out of $5 x^{3}$ .

$\frac{x^{2} (5 x)}{4 x^{2} \cdot (6)}$

Cancel the common factors.

Factor $x^{2}$ out of $4 x^{2} \cdot (6)$ .

$\frac{x^{2} (5 x)}{x^{2} (4 \cdot (6))}$

Cancel the common factor.

$\frac{x^{2} (5 x)}{x^{2} (4 \cdot (6))}$

Rewrite the expression.

$\frac{5 x}{4 \cdot (6)}$

Step 2

Multiply $4$ by $6$ .

$\frac{5 x}{24}$