Basic Math Examples

$\frac{a - a^{2} + 1}{a}$

Step 1

Reorder terms.

$\frac{- a^{2} + a + 1}{a}$

Step 2

Factor $- 1$ out of $- a^{2}$ .

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

Step 3

Factor $- 1$ out of $a$ .

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

Step 4

Factor $- 1$ out of $- (a^{2}) - 1 (- a)$ .

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

Step 5

Rewrite $1$ as $- 1 (- 1)$ .

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

Step 6

Factor $- 1$ out of $- (a^{2} - a) - 1 (- 1)$ .

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

Step 7

Simplify the expression.

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Step 7.1

Rewrite $- (a^{2} - a - 1)$ as $- 1 (a^{2} - a - 1)$ .

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

Step 7.2

Move the negative in front of the fraction.

$- \frac{a^{2} - a - 1}{a}$