帮我算一道数学化简题,(a-½)(a+½)(a²-½a+¼)(a²+½a+¼)这样看有点不清楚,可以抄到纸上看= =.

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帮我算一道数学化简题,(a-½)(a+½)(a²-½a+¼)(a²+½a+¼)这样看有点不清楚,

帮我算一道数学化简题,(a-½)(a+½)(a²-½a+¼)(a²+½a+¼)这样看有点不清楚,可以抄到纸上看= =.
帮我算一道数学化简题,
(a-½)(a+½)(a²-½a+¼)(a²+½a+¼)
这样看有点不清楚,可以抄到纸上看= =.

帮我算一道数学化简题,(a-½)(a+½)(a²-½a+¼)(a²+½a+¼)这样看有点不清楚,可以抄到纸上看= =.
(a-½)(a+½)(a²-½a+¼)(a²+½a+¼)=(a-½)(a²+½a+¼)(a+½)(a²-½a+¼)
=(a^3-1/8)(a^3+1/8)=a^6-1/64

(a-½)(a+½)(a²-½a+¼)(a²+½a+¼)
=(a²-¼)(a-1/2)²(a+1/2)²
=(a²-1/4)(a²-1/4)²
=(a²-1/4)³

原式=(aw-1/2)(aw-1/2)w(aw+1/2)w=(aw-1/2)(aw-1/2)w=(aw-1/2)e
w 表示二次方 e表示三次方