Factor 9a^2-100

$9 a^{2} - 100$

Step 1

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

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

Step 2

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

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

Step 3

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

$(3 a + 10) (3 a - 10)$

Factor 9a^2-100

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