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

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/28 15:21:52

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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