计算(a^4+b^4)(a²+b²)(b-a)(a+b)
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计算(a^4+b^4)(a²+b²)(b-a)(a+b)
计算(a^4+b^4)(a²+b²)(b-a)(a+b)
计算(a^4+b^4)(a²+b²)(b-a)(a+b)
答:连续运用平方差公式
(a^4+b^4)(a²+b²)(b-a)(a+b)
=(b-a)(b+a)(b²+a²)(b^4+a^4)
=(b²-a²)(b²+a²)(b^4+a^4)
=(b^4-a^4)(b^4+a^4)
=b^8-a^8