Factor 81a^4-256

Math
81a4-256
Rewrite 81a4 as (9a2)2.
(9a2)2-256
Rewrite 256 as 162.
(9a2)2-162
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=9a2 and b=16.
(9a2+16)(9a2-16)
Simplify.
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Rewrite 9a2 as (3a)2.
(9a2+16)((3a)2-16)
Rewrite 16 as 42.
(9a2+16)((3a)2-42)
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=4.
(9a2+16)((3a+4)(3a-4))
Remove unnecessary parentheses.
(9a2+16)(3a+4)(3a-4)
(9a2+16)(3a+4)(3a-4)
(9a2+16)(3a+4)(3a-4)
Factor 81a^4-256

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