Trigonometry Examples

$(\frac{2 x}{3 y}) (\frac{9 y}{4 x^{2}})$

Step 1

Combine.

$\frac{2 x (9 y)}{3 y (4 x^{2})}$

Step 2

Cancel the common factor of $2$ and $4$ .

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Step 2.1

Factor $2$ out of $2 x (9 y)$ .

$\frac{2 (x (9 y))}{3 y (4 x^{2})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $3 y (4 x^{2})$ .

$\frac{2 (x (9 y))}{2 (3 y (2 x^{2}))}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (x (9 y))}{2 (3 y (2 x^{2}))}$

Step 2.2.3

Rewrite the expression.

$\frac{x (9 y)}{3 y (2 x^{2})}$

$\frac{x (9 y)}{3 y (2 x^{2})}$

$\frac{x (9 y)}{3 y (2 x^{2})}$

Step 3

Cancel the common factors.

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Step 3.1

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

$\frac{x (9 y)}{x (3 y (2 x))}$

Step 3.2

Cancel the common factor.

$\frac{x (9 y)}{x (3 y (2 x))}$

Step 3.3

Rewrite the expression.

$\frac{9 y}{3 y (2 x)}$

$\frac{9 y}{3 y (2 x)}$

Step 4

Cancel the common factor of $9$ and $3$ .

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Step 4.1

Factor $3$ out of $9 y$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $3 y (2 x)$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

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

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

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

Step 5

Cancel the common factor of $y$ .

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Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

$\frac{3}{2 x}$

$\frac{3}{2 x}$

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