3(y-z)^2-(2y+z)(-z+2y)

问题描述:

3(y-z)^2-(2y+z)(-z+2y)
这道题我是这样做的:
3(y-z)^2-(2y+z)(-z+2y)
=3(y-z)^2+(-z-2y)(-z+2y)
=3(y-z)^2+z^2-4y^2
=3(y^2-2yz+z^2)+z^2-4y^2
=3y^2-6yz+3z^2+z^2-4y^2
=4z^2-6yz-y^2
(a+b-c)^2
=[(a+b)-c]^2
=(a+b)^2-2(a+b)c+c^2
=a^2+b^2-2a+2bc+c^2

第一个对
第二个不对
(a+b-c)^2
=[(a+b)-c]^2
=(a+b)^2-2(a+b)c+c^2
=a^2+b^2+2ab-2ac-2bc+c^2