Factor 9x^2-400

$9 x^{2} - 400$

Step 1

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

${(3 x)}^{2} - 400$

Step 2

Rewrite $400$ as $20^{2}$ .

${(3 x)}^{2} - 20^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 x$ and $b = 20$ .

$(3 x + 20) (3 x - 20)$

Factor 9x^2-400

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