Basic Math Examples

$25 c^{2} - 144$

Step 1

Rewrite $25 c^{2}$ as ${(5 c)}^{2}$ .

${(5 c)}^{2} - 144$

Step 2

Rewrite $144$ as $12^{2}$ .

${(5 c)}^{2} - 12^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 c$ and $b = 12$ .

$(5 c + 12) (5 c - 12)$