Trigonometry Examples

$9 c^{2} - 100$

Step 1

Rewrite $9 c^{2}$ as ${(3 c)}^{2}$ .

${(3 c)}^{2} - 100$

Step 2

Rewrite $100$ as $10^{2}$ .

${(3 c)}^{2} - 10^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 c$ and $b = 10$ .

$(3 c + 10) (3 c - 10)$