Basic Math Examples

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

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

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

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

Step 1.1.2

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

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

Step 1.1.3

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

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

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

Step 1.2

Rewrite $- 1 b$ as $- b$ .

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

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

Step 2

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

Tap for more steps...

Step 2.1

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

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

Step 2.2

Factor $b$ out of $- 2 a b$ .

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

Step 2.3

Factor $b$ out of $b \cdot b + b (- 2 a)$ .

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

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

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