Simplify (24x^5)/(18x^2-12x^3)

$\frac{24 x^{5}}{18 x^{2} - 12 x^{3}}$

Step 1

Factor $6 x^{2}$ out of $18 x^{2} - 12 x^{3}$ .

Factor $6 x^{2}$ out of $18 x^{2}$ .

$\frac{24 x^{5}}{6 x^{2} (3) - 12 x^{3}}$

Factor $6 x^{2}$ out of $- 12 x^{3}$ .

$\frac{24 x^{5}}{6 x^{2} (3) + 6 x^{2} (- 2 x)}$

Factor $6 x^{2}$ out of $6 x^{2} (3) + 6 x^{2} (- 2 x)$ .

$\frac{24 x^{5}}{6 x^{2} (3 - 2 x)}$

$\frac{24 x^{5}}{6 x^{2} (3 - 2 x)}$

Step 2

Cancel the common factor of $24$ and $6$ .

Factor $6$ out of $24 x^{5}$ .

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

Cancel the common factors.

Factor $6$ out of $6 x^{2} (3 - 2 x)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $x^{5}$ and $x^{2}$ .

Factor $x^{2}$ out of $4 x^{5}$ .

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

Cancel the common factors.

Cancel the common factor.

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

Rewrite the expression.

$\frac{4 x^{3}}{3 - 2 x}$

$\frac{4 x^{3}}{3 - 2 x}$

$\frac{4 x^{3}}{3 - 2 x}$

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