Algebra Examples

$\frac{8 x^{2} y}{x^{7} y^{5}}$

Step 1

Cancel the common factor of $x^{2}$ and $x^{7}$ .

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Step 1.1

Factor $x^{2}$ out of $8 x^{2} y$ .

$\frac{x^{2} (8 y)}{x^{7} y^{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x^{2}$ out of $x^{7} y^{5}$ .

$\frac{x^{2} (8 y)}{x^{2} (x^{5} y^{5})}$

Step 1.2.2

Cancel the common factor.

$\frac{x^{2} (8 y)}{x^{2} (x^{5} y^{5})}$

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

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

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Step 2.1

Factor $y$ out of $8 y$ .

$\frac{y \cdot 8}{x^{5} y^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$\frac{y \cdot 8}{y (x^{5} y^{4})}$

Step 2.2.2

Cancel the common factor.

$\frac{y \cdot 8}{y (x^{5} y^{4})}$

Step 2.2.3

Rewrite the expression.

$\frac{8}{x^{5} y^{4}}$

$\frac{8}{x^{5} y^{4}}$

$\frac{8}{x^{5} y^{4}}$

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