Factor 81a^4-b^4

Math
81a4-b4
Rewrite 81a4 as (9a2)2.
(9a2)2-b4
Rewrite b4 as (b2)2.
(9a2)2-(b2)2
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=9a2 and b=b2.
(9a2+b2)(9a2-b2)
Simplify.
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Rewrite 9a2 as (3a)2.
(9a2+b2)((3a)2-b2)
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=3a and b=b.
(9a2+b2)((3a+b)(3a-b))
Remove unnecessary parentheses.
(9a2+b2)(3a+b)(3a-b)
(9a2+b2)(3a+b)(3a-b)
(9a2+b2)(3a+b)(3a-b)
Factor 81a^4-b^4

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