Calculus Examples

$\sqrt{49 - x^{2}}$

Step 1

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} - x^{2}}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 7$ and $b = x$ .

$\sqrt{(7 + x) (7 - x)}$