Trigonometry Examples

$\frac{7 x}{x - 6} \cdot \frac{x + 5}{2 x^{3}}$

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Factor $x$ out of $7 x$ .

$\frac{x \cdot 7}{x - 6} \cdot \frac{x + 5}{2 x^{3}}$

Step 1.2

Factor $x$ out of $2 x^{3}$ .

$\frac{x \cdot 7}{x - 6} \cdot \frac{x + 5}{x (2 x^{2})}$

Step 1.3

Cancel the common factor.

$\frac{x \cdot 7}{x - 6} \cdot \frac{x + 5}{x (2 x^{2})}$

Step 1.4

Rewrite the expression.

$\frac{7}{x - 6} \cdot \frac{x + 5}{2 x^{2}}$

Step 2

Multiply $\frac{7}{x - 6}$ by $\frac{x + 5}{2 x^{2}}$ .

$\frac{7 (x + 5)}{(x - 6) (2 x^{2})}$

Step 3

Simplify the expression.

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Step 3.1

Move $2$ to the left of $x - 6$ .

$\frac{7 (x + 5)}{2 \cdot (x - 6) x^{2}}$

Step 3.2

Reorder factors in $\frac{7 (x + 5)}{2 (x - 6) x^{2}}$ .

$\frac{7 (x + 5)}{2 x^{2} (x - 6)}$