Factor a^4-2^4

Math
a4-24
Rewrite a4 as (a2)2.
(a2)2-24
Rewrite 24 as (22)2.
(a2)2-(22)2
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=a2 and b=22.
(a2+22)(a2-22)
Simplify.
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Raise 2 to the power of 2.
(a2+4)(a2-22)
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=a and b=2.
(a2+4)((a+2)(a-2))
Remove unnecessary parentheses.
(a2+4)(a+2)(a-2)
(a2+4)(a+2)(a-2)
(a2+4)(a+2)(a-2)
Factor a^4-2^4

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