Calculus Examples

$\frac{9}{15 x - 15}$

Step 1

Cancel the common factor of $9$ and $15 x - 15$ .

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Step 1.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{15 x - 15}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $15 x$ .

$\frac{3 (3)}{3 (5 x) - 15}$

Step 1.2.2

Factor $3$ out of $- 15$ .

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

Step 1.2.3

Factor $3$ out of $3 (5 x) + 3 (- 5)$ .

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

Step 1.2.4

Cancel the common factor.

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

Step 1.2.5

Rewrite the expression.

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

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

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

Step 2

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

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Step 2.1

Factor $5$ out of $5 x$ .

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

Step 2.2

Factor $5$ out of $- 5$ .

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

Step 2.3

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

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

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

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