Trigonometry Examples

$\frac{8 x}{3 b} \cdot \frac{9 b x}{2 x^{5}}$

Step 1

Combine.

$\frac{8 x (9 b x)}{3 b (2 x^{5})}$

Step 2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1

Move $x$ .

$\frac{8 (x \cdot x) (9 b)}{3 b (2 x^{5})}$

Step 2.2

Multiply $x$ by $x$ .

$\frac{8 x^{2} (9 b)}{3 b (2 x^{5})}$

$\frac{8 x^{2} (9 b)}{3 b (2 x^{5})}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $8$ and $2$ .

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Step 3.1.1

Factor $2$ out of $8 x^{2} (9 b)$ .

$\frac{2 (4 x^{2} (9 b))}{3 b (2 x^{5})}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $3 b (2 x^{5})$ .

$\frac{2 (4 x^{2} (9 b))}{2 (3 b (x^{5}))}$

Step 3.1.2.2

Cancel the common factor.

$\frac{2 (4 x^{2} (9 b))}{2 (3 b (x^{5}))}$

Step 3.1.2.3

Rewrite the expression.

$\frac{4 x^{2} (9 b)}{3 b (x^{5})}$

$\frac{4 x^{2} (9 b)}{3 b (x^{5})}$

$\frac{4 x^{2} (9 b)}{3 b (x^{5})}$

Step 3.2

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

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Step 3.2.1

Factor $x^{2}$ out of $4 x^{2} (9 b)$ .

$\frac{x^{2} (4 (9 b))}{3 b (x^{5})}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $x^{2}$ out of $3 b (x^{5})$ .

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

Step 3.2.2.2

Cancel the common factor.

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

Step 3.2.2.3

Rewrite the expression.

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

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

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

Step 3.3

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

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Step 3.3.1

Factor $3$ out of $4 (9 b)$ .

$\frac{3 (4 (3 b))}{3 b (x^{3})}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

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

$\frac{3 (4 (3 b))}{3 (b (x^{3}))}$

Step 3.3.2.2

Cancel the common factor.

$\frac{3 (4 (3 b))}{3 (b (x^{3}))}$

Step 3.3.2.3

Rewrite the expression.

$\frac{4 (3 b)}{b (x^{3})}$

$\frac{4 (3 b)}{b (x^{3})}$

$\frac{4 (3 b)}{b (x^{3})}$

Step 3.4

Cancel the common factor of $b$ .

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Step 3.4.1

Cancel the common factor.

$\frac{4 (3 b)}{b x^{3}}$

Step 3.4.2

Rewrite the expression.

$\frac{4 \cdot (3)}{x^{3}}$

$\frac{4 \cdot (3)}{x^{3}}$

$\frac{4 \cdot (3)}{x^{3}}$

Step 4

Multiply $4$ by $3$ .

$\frac{12}{x^{3}}$

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