Algebra Examples

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

Step 1

Factor $- 1$ out of $- a$ .

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

Step 2

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

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

Step 3

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

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

Step 4

Rewrite $- (a + b)$ as $- 1 (a + b)$ .

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

Step 5

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

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

Step 6

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

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

Step 7

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

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

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 $1$ .

$a + b$

$a + b$

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