x(x-y)-y(y-x)+(x-y)²因式分解

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x(x-y)-y(y-x)+(x-y)²因式分解

x(x-y)-y(y-x)+(x-y)²因式分解
x(x-y)-y(y-x)+(x-y)²因式分解

x(x-y)-y(y-x)+(x-y)²因式分解
x(x-y)-y(y-x)+(x-y)²
=x(x-y)+y(x-y)+(x-y)²
=(x-y)[x+y+(x-y)]
=(x-y)(2x)
=2x(x-y)

原式=x(x-y)+y(x-y)+(x-y)²
=(x-y)(x+y+x-y)
=2x(x-y)