Precalculus Examples

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

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Cancel the common factor.

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

Step 1.2

Rewrite the expression.

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

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

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Step 3.1

Factor $y$ out of $x y$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

$\frac{y x}{y \cdot y}$

Step 3.2.2

Cancel the common factor.

$\frac{y x}{y \cdot y}$

Step 3.2.3

Rewrite the expression.

$\frac{x}{y}$

$\frac{x}{y}$

$\frac{x}{y}$

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