Calculus Examples

$\frac{a b - a}{b^{2} - b}$

Step 1

Factor $a$ out of $a b - a$ .

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Step 1.1

Factor $a$ out of $a b$ .

$\frac{a (b) - a}{b^{2} - b}$

Step 1.2

Factor $a$ out of $- a$ .

$\frac{a (b) + a \cdot - 1}{b^{2} - b}$

Step 1.3

Factor $a$ out of $a (b) + a \cdot - 1$ .

$\frac{a (b - 1)}{b^{2} - b}$

$\frac{a (b - 1)}{b^{2} - b}$

Step 2

Factor $b$ out of $b^{2} - b$ .

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Step 2.1

Factor $b$ out of $b^{2}$ .

$\frac{a (b - 1)}{b \cdot b - b}$

Step 2.2

Factor $b$ out of $- b$ .

$\frac{a (b - 1)}{b \cdot b + b \cdot - 1}$

Step 2.3

Factor $b$ out of $b \cdot b + b \cdot - 1$ .

$\frac{a (b - 1)}{b (b - 1)}$

$\frac{a (b - 1)}{b (b - 1)}$

Step 3

Cancel the common factor of $b - 1$ .

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Step 3.1

Cancel the common factor.

$\frac{a (b - 1)}{b (b - 1)}$

Step 3.2

Rewrite the expression.

$\frac{a}{b}$

$\frac{a}{b}$

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