化简求值:(a²+ab+b²)(a²-ab+b²)(a-b)(a+b),其中a=2,b=-1

问题描述:

化简求值:(a²+ab+b²)(a²-ab+b²)(a-b)(a+b),其中a=2,b=-1

=[(a²+ab+b²)(a-b)][(a²-ab+b²)(a+b)]
=(a³-b³)(a³+b³)
=a^6-b^6
=64-1
=63