用乘法公式计算:(a²-4b²)(a²+2ab+4b²)(a²-2ab+4b²)

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用乘法公式计算:(a²-4b²)(a²+2ab+4b²)(a²-2ab+4b²)
用乘法公式计算:(a²-4b²)(a²+2ab+4b²)(a²-2ab+4b²)

用乘法公式计算:(a²-4b²)(a²+2ab+4b²)(a²-2ab+4b²)
(a²-4b²)(a²+2ab+4b²)(a²-2ab+4b²)=﹙a+2b﹚﹙a-2b﹚(a²+2ab+4b²)(a²-2ab+4b²)
=﹙a-2b﹚(a²+2ab+4b²)﹙a+2b﹚(a²-2ab+4b²)
=﹙a³-8b³﹚﹙a³+8b³﹚
=a^6-64b^6.
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