Factor 1-9a^4

$1 - 9 a^{4}$

Step 1

Rewrite $1$ as $1^{2}$ .

$1^{2} - 9 a^{4}$

Step 2

Rewrite $9 a^{4}$ as ${(3 a^{2})}^{2}$ .

$1^{2} - {(3 a^{2})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = 3 a^{2}$ .

$(1 + 3 a^{2}) (1 - (3 a^{2}))$

Step 4

Multiply $3$ by $- 1$ .

$(1 + 3 a^{2}) (1 - 3 a^{2})$

Factor 1-9a^4

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