已知实数a,b满足a+b=2,a-b=5,则(a+b)3•(a-b)3的值是_.

问题描述:

已知实数a,b满足a+b=2,a-b=5,则(a+b)3•(a-b)3的值是______.

∵a+b=2,a-b=5,
∴原式=[(a+b)(a-b)]3=103=1000.
故答案为:1000