计算(a-2b)(a+2b)(a²+2ab+4b²）（a²-2ab+4b²）

来源：学生作业学帮网编辑：学帮网时间：2024/05/27 23:39:16

(a-2b)(a+2b)(a²+2ab+4b²)(a²-2ab+4b²)
=(a²-4b²) [ (a²+4b²)²-(2ab)² ]
=(a²-4b²) ( a^4+8a²b²+16b^4-4a²b²)
=(a²-4b²) (a^4+4a²b²+16b^4)
=(a²)³-(4b²)³
=a^6-64b^6