Factor a^2b^2-c^4

$a^{2} b^{2} - c^{4}$

Step 1

Rewrite $a^{2} b^{2}$ as ${(a b)}^{2}$ .

${(a b)}^{2} - c^{4}$

Step 2

Rewrite $c^{4}$ as ${(c^{2})}^{2}$ .

${(a b)}^{2} - {(c^{2})}^{2}$

Step 3

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

$(a b + c^{2}) (a b - c^{2})$

Factor a^2b^2-c^4

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