Simplify (a^2-1)/(1-a^2)

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Reorder terms.

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

Step 5

Cancel the common factor.

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

Step 6

Divide $- 1$ by $1$ .

$- 1$

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