Calculus Examples

$\sqrt{4 - t^{2}}$

Step 1

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} - t^{2}}$

Step 2

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

$\sqrt{(2 + t) (2 - t)}$