因式分解x^2-y^2-x-y

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因式分解x^2-y^2-x-y

因式分解x^2-y^2-x-y
因式分解x^2-y^2-x-y

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

(x+y)(x+y-1)

x^2-y^2-x-y =(x^2-x)-(y^2+y)=x(x-1)-y(y+1)

=(x+y)(x-y)-(x+y)
=(x+y)(x-y-1)

(x+y)(x-y)-(x+y)=(x+y)(x-y-1)