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a8 - b8 = ((a4)2 - (b4)2) [the difference of two squares]
= (a4 + b4)(a4 - b4)
= (a4 + b4)(a2 + b2)(a2 - b2)
= (a4 + b4)(a2 + b2)(a + b)(a -b)
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a8-b8
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(a^4)^2-(a^4)^2
(a^4+b^4) (a^4-b^4)
(a^4+b^4) (a^2)^2- (b^2)^2
(a^4+b^4). (a^2+b^2) (a^2-b^2)
(a^4+b^4). (a^2+b^2) (a+b) (a-b)
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