Algebra Examples

$\frac{4 x^{2} y z^{5}}{6 x^{2} y^{3} z^{2}}$

Step 1

Cancel the common factor of $4$ and $6$ .

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Step 1.1

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

$\frac{2 (2 x^{2} y z^{5})}{6 x^{2} y^{3} z^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $6 x^{2} y^{3} z^{2}$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

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

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

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

Step 3

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

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Step 3.1

Factor $y$ out of $2 y z^{5}$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

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

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Step 4.1

Factor $z^{2}$ out of $2 z^{5}$ .

$\frac{z^{2} (2 z^{3})}{3 y^{2} z^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

$\frac{z^{2} (2 z^{3})}{z^{2} (3 y^{2})}$

Step 4.2.2

Cancel the common factor.

$\frac{z^{2} (2 z^{3})}{z^{2} (3 y^{2})}$

Step 4.2.3

Rewrite the expression.

$\frac{2 z^{3}}{3 y^{2}}$

$\frac{2 z^{3}}{3 y^{2}}$

$\frac{2 z^{3}}{3 y^{2}}$

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