Hoặc
Tính (a−b−c)3.
Ta có: (a−b−c)3
=[(a−b)−c]3
=(a−b)3−3(a−b)2c+3(a−b)c2−c3
=a3−3a2b+3ab2−b3−3c(a2−2ab+b2)+3ac2−3bc2−c3
=a3−b3−c3−3ab(a−b)−3ac(a−c)−3bc(b+c)+6abc.