(x+y+z)(x-y-z)=_,(a+b+c)(a+b-c)=_.
问题描述:
(x+y+z)(x-y-z)=______,(a+b+c)(a+b-c)=______.
答
(x+y+z)(x-y-z)=x2-(y+z)2=x2-y2-2yz-z2,(a+b+c)(a+b-c)=(a+b)2-c2=a2+2ab+b2-c2.
故答案为:x2-y2-2yz-z2;a2+2ab+b2-c2