(x-y+z)的平方-(x+y-z)的平方等于多少?运用完全平方公式计算

2025-02-26 08:16:18
推荐回答(3个)
回答1:

(x-y+z)的平方-(x+y-z)的平方=(x-y+z+x+y-z)(x-y+z-x-y+z)=2x×(-2y+2z)=4xz-4xy

回答2:

利用a^2-b^2=(a+b)(a-b) 平方差公式,可得:
原式=(x-y+z)^2-(x+y-z)^2
=(x-y+z+x+y-z)(x-y+z-x-y+z)
=2x*(-2y+2z)
=4x(z-y)

回答3:

(x-y+z)的平方-(x+y-z)的平方
=(x-y+z+x+y-z)(x-y+z-x-y+z)
=2x*(-2y+2z)
=4x(z-y)