solve the equation please a^8-b^8
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a^8 - b^8.
=( a^4)^2 - (b^4)^2.
= (a^4 + b^4) ( a^4 - b^4).
={(a^2)^2 + (b^2)^2)} {(a^2)^2 - (b^2)^2}.
= {(a^2 + b^2)^2 -2a^2b^2)} { (a^2+b^2)(a^2-b^2)}.
=[{(a+b)^2-2ab}^2 -2a^2b^2} { ((a+b)^2-2ab)(a+b)(a-b)}].
Hope it helps.
=( a^4)^2 - (b^4)^2.
= (a^4 + b^4) ( a^4 - b^4).
={(a^2)^2 + (b^2)^2)} {(a^2)^2 - (b^2)^2}.
= {(a^2 + b^2)^2 -2a^2b^2)} { (a^2+b^2)(a^2-b^2)}.
=[{(a+b)^2-2ab}^2 -2a^2b^2} { ((a+b)^2-2ab)(a+b)(a-b)}].
Hope it helps.
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