Algebra Examples

$\frac{5 x^{8} y^{3}}{15 x^{3} y^{3}}$

Step 1

Cancel the common factor of $5$ and $15$ .

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Step 1.1

Factor $5$ out of $5 x^{8} y^{3}$ .

$\frac{5 (x^{8} y^{3})}{15 x^{3} y^{3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $15 x^{3} y^{3}$ .

$\frac{5 (x^{8} y^{3})}{5 (3 x^{3} y^{3})}$

Step 1.2.2

Cancel the common factor.

$\frac{5 (x^{8} y^{3})}{5 (3 x^{3} y^{3})}$

Step 1.2.3

Rewrite the expression.

$\frac{x^{8} y^{3}}{3 x^{3} y^{3}}$

$\frac{x^{8} y^{3}}{3 x^{3} y^{3}}$

$\frac{x^{8} y^{3}}{3 x^{3} y^{3}}$

Step 2

Cancel the common factor of $x^{8}$ and $x^{3}$ .

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Step 2.1

Factor $x^{3}$ out of $x^{8} y^{3}$ .

$\frac{x^{3} (x^{5} y^{3})}{3 x^{3} y^{3}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$\frac{x^{3} (x^{5} y^{3})}{x^{3} (3 y^{3})}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{3} (x^{5} y^{3})}{x^{3} (3 y^{3})}$

Step 2.2.3

Rewrite the expression.

$\frac{x^{5} y^{3}}{3 y^{3}}$

$\frac{x^{5} y^{3}}{3 y^{3}}$

$\frac{x^{5} y^{3}}{3 y^{3}}$

Step 3

Cancel the common factor of $y^{3}$ .

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Step 3.1

Cancel the common factor.

$\frac{x^{5} y^{3}}{3 y^{3}}$

Step 3.2

Rewrite the expression.

$\frac{x^{5}}{3}$

$\frac{x^{5}}{3}$

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