计算(x-½)(x²+¼)(x+½)

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计算(x-½)(x²+¼)(x+½)
计算(x-½)(x²+¼)(x+½)

计算(x-½)(x²+¼)(x+½)
(x-½)(x²+¼)(x+½)
=(x-½)(x+½)(x^2+1/4)
=(x^2-1/4)(x^2+1/4)
=x^4-1/16

(x-½)(x²+¼)(x+½)=(x-½)(x+½)(x²+¼)=(x²-¼)(x²+¼)=x^4-1/16

(x-½)(x²+¼)(x+½)
原式= (x-½)(x+½)(x²+¼)
=﹙x²-¼﹚﹙x²+¼)
=x^4-﹙1/16﹚