因式分解平方差公式 已知x+y+z=0,化简x^2-y^2+xz-yz

2025-06-26 12:12:07
推荐回答(3个)
回答1:

已知x+y+z=0
化简x^2-y^2+xz-yz
x^2-y^2+xz-yz
= (x+y)(x-y)+z(x-y)
=(x-y)(x+y+z)
=0

回答2:

原式=(x+y)(x-y)+z(x-y)
=(x-y)(x+y+z)
=0

回答3:

x^2-y^2+xz-yz=(x+y)(x-y)+z(x-y)=(x-y)(x+y+z)=0