Factor 25x^4-9

$25 x^{4} - 9$

Step 1

Rewrite $25 x^{4}$ as ${(5 x^{2})}^{2}$ .

${(5 x^{2})}^{2} - 9$

Step 2

Rewrite $9$ as $3^{2}$ .

${(5 x^{2})}^{2} - 3^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 x^{2}$ and $b = 3$ .

$(5 x^{2} + 3) (5 x^{2} - 3)$

Factor 25x^4-9

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