Calculus Examples

$z = 4 \sqrt{1 - y^{2}}$

Step 1

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

$z = 4 \sqrt{1^{2} - y^{2}}$

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 $b = y$ .

$z = 4 \sqrt{(1 + y) (1 - y)}$