用乘法公式计算:(a²-4b²)(a²+2ab+4b²)(a²-2ab+4b²)
问题描述:
用乘法公式计算:(a²-4b²)(a²+2ab+4b²)(a²-2ab+4b²)
答
(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.
给我最佳,祝你进步!