Trigonometry Examples

$\frac{5 x - 5}{x} \cdot \frac{6 x^{2}}{9 x - 9}$

Step 1

Factor $5$ out of $5 x - 5$ .

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Step 1.1

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 5}{x} \cdot \frac{6 x^{2}}{9 x - 9}$

Step 1.2

Factor $5$ out of $- 5$ .

$\frac{5 (x) + 5 (- 1)}{x} \cdot \frac{6 x^{2}}{9 x - 9}$

Step 1.3

Factor $5$ out of $5 (x) + 5 (- 1)$ .

$\frac{5 (x - 1)}{x} \cdot \frac{6 x^{2}}{9 x - 9}$

Step 2

Factor $9$ out of $9 x - 9$ .

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Step 2.1

Factor $9$ out of $9 x$ .

$\frac{5 (x - 1)}{x} \cdot \frac{6 x^{2}}{9 (x) - 9}$

Step 2.2

Factor $9$ out of $- 9$ .

$\frac{5 (x - 1)}{x} \cdot \frac{6 x^{2}}{9 (x) + 9 (- 1)}$

Step 2.3

Factor $9$ out of $9 (x) + 9 (- 1)$ .

$\frac{5 (x - 1)}{x} \cdot \frac{6 x^{2}}{9 (x - 1)}$

Step 3

Combine.

$\frac{5 (x - 1) (6 x^{2})}{x (9 (x - 1))}$

Step 4

Cancel the common factor of $x - 1$ .

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Step 4.1

Cancel the common factor.

$\frac{5 (x - 1) (6 x^{2})}{x (9 (x - 1))}$

Step 4.2

Rewrite the expression.

$\frac{5 (6 x^{2})}{x \cdot (9)}$

Step 5

Cancel the common factor of $6$ and $9$ .

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Step 5.1

Factor $3$ out of $5 (6 x^{2})$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $x \cdot (9)$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

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

Step 6

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

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Step 6.1

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

$\frac{x (5 (2 x))}{x \cdot (3)}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $x$ out of $x \cdot (3)$ .

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

Step 6.2.2

Cancel the common factor.

$\frac{x (5 (2 x))}{x \cdot 3}$

Step 6.2.3

Rewrite the expression.

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

Step 7

Multiply $5$ by $2$ .

$\frac{10 x}{3}$