求(a+b)(a2+b2)(a4+b4)(a8+b8)用平方差求解

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求(a+b)(a2+b2)(a4+b4)(a8+b8)用平方差求解
求(a+b)(a2+b2)(a4+b4)(a8+b8)用平方差求解

求(a+b)(a2+b2)(a4+b4)(a8+b8)用平方差求解
(a+b)(a2+b2)(a4+b4)(a8+b8)
=(a-b)(a+b)(a2+b2)(a4+b4)(a8+b8)/(a-b)
=(a2-b2)(a2+b2)(a4+b4)(a8+b8)/(a-b)
=(a4-b4)(a4+b4)(a8+b8)/(a-b)
=(a8-b8)(a8+b8)/(a-b)
=(a16-b16)/(a-b)