单选题 已知
【正确答案】 E
【答案解析】解析:x 3 +y 3 +z 3 -3xyz =[(x+y) 2 -3x 2 y-3xy 2 ]+z 3 -3xyz =(x+y) 3 +z 3 -3(x 2 y+xy 2 +xyz) =(x+y+z)[(x+y) 2 -(x+y)z+z 2 ]-3xy(x+y+z) =(x+y+z)(x 2 +y 2 +z 2 -xy-yz-xz), 因此,