Trigonometry Examples

$\frac{\frac{\frac{35}{x - 3}}{21}}{x}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\frac{35}{x - 3}}{21} \cdot \frac{1}{x}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{35}{x - 3} \cdot \frac{1}{21} \frac{1}{x}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Factor $7$ out of $35$ .

$\frac{7 (5)}{x - 3} \cdot \frac{1}{21} \frac{1}{x}$

Step 3.2

Factor $7$ out of $21$ .

$\frac{7 \cdot 5}{x - 3} \cdot \frac{1}{7 \cdot 3} \frac{1}{x}$

Step 3.3

Cancel the common factor.

$\frac{7 \cdot 5}{x - 3} \cdot \frac{1}{7 \cdot 3} \frac{1}{x}$

Step 3.4

Rewrite the expression.

$\frac{5}{x - 3} \cdot \frac{1}{3} \frac{1}{x}$

Step 4

Multiply $\frac{5}{x - 3}$ by $\frac{1}{3}$ .

$\frac{5}{(x - 3) \cdot 3} \cdot \frac{1}{x}$

Step 5

Move $3$ to the left of $x - 3$ .

$\frac{5}{3 \cdot (x - 3)} \cdot \frac{1}{x}$

Step 6

Multiply $\frac{5}{3 (x - 3)}$ by $\frac{1}{x}$ .

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

Step 7

Reorder factors in $\frac{5}{3 (x - 3) x}$ .

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