Algebra Examples

$\frac{12 x^{6} y^{2}}{18 x y^{2}}$

Step 1

Cancel the common factor of $12$ and $18$ .

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Step 1.1

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

$\frac{6 (2 x^{6} y^{2})}{18 x y^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

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

$\frac{6 (2 x^{6} y^{2})}{6 (3 x y^{2})}$

Step 1.2.2

Cancel the common factor.

$\frac{6 (2 x^{6} y^{2})}{6 (3 x y^{2})}$

Step 1.2.3

Rewrite the expression.

$\frac{2 x^{6} y^{2}}{3 x y^{2}}$

$\frac{2 x^{6} y^{2}}{3 x y^{2}}$

$\frac{2 x^{6} y^{2}}{3 x y^{2}}$

Step 2

Cancel the common factor of $x^{6}$ and $x$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{2 x^{5} y^{2}}{3 y^{2}}$

$\frac{2 x^{5} y^{2}}{3 y^{2}}$

$\frac{2 x^{5} y^{2}}{3 y^{2}}$

Step 3

Cancel the common factor of $y^{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{2 x^{5} y^{2}}{3 y^{2}}$

Step 3.2

Rewrite the expression.

$\frac{2 x^{5}}{3}$

$\frac{2 x^{5}}{3}$

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