Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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 $6$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

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 $x^{2}$ .

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Step 3.1

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Cancel the common factor.

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

Step 3.2.2

Rewrite the expression.

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

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$