已知(x-y)∧3=x∧3-3x∧2y+3xy∧2-y∧3对任意x,y都成立.(1)填空:(x-y)(x+y)(x+y)= ; (2)计算:999∧3+3×999∧2+3×999+1.

问题描述:

已知(x-y)∧3=x∧3-3x∧2y+3xy∧2-y∧3对任意x,y都成立.(1)填空:(x-y)(x+y)(x+y)= ; (2)计算:999∧3+3×999∧2+3×999+1.

(1)填空:(x+y)(x+y)(x+y)= x∧3+3x∧2y+3xy∧2+y∧3 ;
(2)计算:999∧3+3×999∧2+3×999+1
=(999+1)³
=1000³
=1000000000