Algebra Examples

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

Step 1

Factor $- 1$ out of $a$ .

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

Step 2

Factor $- 1$ out of $- b$ .

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

Step 3

Factor $- 1$ out of $- 1 (- a) - (b)$ .

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

Step 4

Apply the product rule to $- 1 (- a + b)$ .

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

Step 5

Raise $- 1$ to the power of $2$ .

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

Step 6

Multiply ${(- a + b)}^{2}$ by $1$ .

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

Step 7

Reorder terms.

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

Step 8

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

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

Step 9

Cancel the common factors.

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Step 9.1

Multiply by $1$ .

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

Step 9.2

Cancel the common factor.

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

Step 9.3

Rewrite the expression.

$\frac{- a + b}{1}$

Step 9.4

Divide $- a + b$ by $1$ .

$- a + b$

$- a + b$

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