Trigonometry Examples

$\frac{10 d}{15 d - 20 d^{2}}$

Step 1

Factor $5 d$ out of $15 d - 20 d^{2}$ .

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Step 1.1

Factor $5 d$ out of $15 d$ .

$\frac{10 d}{5 d (3) - 20 d^{2}}$

Step 1.2

Factor $5 d$ out of $- 20 d^{2}$ .

$\frac{10 d}{5 d (3) + 5 d (- 4 d)}$

Step 1.3

Factor $5 d$ out of $5 d (3) + 5 d (- 4 d)$ .

$\frac{10 d}{5 d (3 - 4 d)}$

$\frac{10 d}{5 d (3 - 4 d)}$

Step 2

Cancel the common factor of $10$ and $5$ .

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Step 2.1

Factor $5$ out of $10 d$ .

$\frac{5 (2 d)}{5 d (3 - 4 d)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $5 d (3 - 4 d)$ .

$\frac{5 (2 d)}{5 (d (3 - 4 d))}$

Step 2.2.2

Cancel the common factor.

$\frac{5 (2 d)}{5 (d (3 - 4 d))}$

Step 2.2.3

Rewrite the expression.

$\frac{2 d}{d (3 - 4 d)}$

$\frac{2 d}{d (3 - 4 d)}$

$\frac{2 d}{d (3 - 4 d)}$

Step 3

Cancel the common factor of $d$ .

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Step 3.1

Cancel the common factor.

$\frac{2 d}{d (3 - 4 d)}$

Step 3.2

Rewrite the expression.

$\frac{2}{3 - 4 d}$

$\frac{2}{3 - 4 d}$

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