因式分解 x(x-1)+y(y+1)-2xy

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因式分解 x(x-1)+y(y+1)-2xy

因式分解 x(x-1)+y(y+1)-2xy
因式分解 x(x-1)+y(y+1)-2xy

因式分解 x(x-1)+y(y+1)-2xy
x(x-1)+y(y+1)-2xy
=x^2-x+y^2+y-2xy
=x^2+y^2-2xy-(x-y)
=(x-y)^2-(x-y)
=(x-y)(x-y-1)

x(x-1)+y(y+1)-2xy
=x平方-x+y平方+y-2xy
=x平方-2xy+y平方-(x-y)
=(x-y)平方-(x-y)
=(x-y)(x-y-1)