因式分解:(x-z)的平方-4(y-z)(x-y)

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因式分解:(x-z)的平方-4(y-z)(x-y)

因式分解:(x-z)的平方-4(y-z)(x-y)
因式分解:(x-z)的平方-4(y-z)(x-y)

因式分解:(x-z)的平方-4(y-z)(x-y)
(x-z)的平方-4(y-z)(x-y)
=[(x-y)+(y-z)]^2-4(y-z)(x-y)
=(x-y)^2+2(x-y)(y-z)+(y-z)^2-4(y-z)(x-y)
=(x-y)^2-2(x-y)(y-z)+(y-z)^2
=[(x-y)-(y-z)]^2
=(x-2y+z)^2