(x+1/2)(x^2+1/4)(x-1/2)(x^4+1/16)等于多少?

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答案和解析

(x+1/2)(x^2+1/4)(x-1/2)(x^4+1/16)
=(x-1/2)(x+1/2)(x^2+1/4)(x^4+1/16)
=(x^2-1/4)(x^2+1/4)(x^4+1/16)
=(x^4+1/16)(x^4-1/16)
=x^8-1/256

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