Calculus Examples

$y = \frac{1 + x^{2}}{1 - x^{2}}$

Step 1

Rewrite $1$ as $1^{2}$ .

$y = \frac{1 + x^{2}}{1^{2} - x^{2}}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = x$ .

$y = \frac{1 + x^{2}}{(1 + x) (1 - x)}$