因式分解:x^2-6x+y^2+6y-2xy+5

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因式分解:x^2-6x+y^2+6y-2xy+5

因式分解:x^2-6x+y^2+6y-2xy+5
因式分解:x^2-6x+y^2+6y-2xy+5

因式分解:x^2-6x+y^2+6y-2xy+5
x^2-6x+y^2+6y-2xy+5
=(x-y)^2-6(x-y)+5
=(x-y-5)(x-y-1)

x^2-6x+y^2+6y-2xy+5
=x^2-2xy+y^2-6x+6y+5
=(x-y)^2-6(x-y)+5
=(x-y-5)(x-y-1)

原式=(x-y-1)*(x-y-5)

x^2-6x+y^2+6y-2xy+5
=(x^2-2xy+y^2)+(6y-6x)+5
=(x-y)^2-6(x-y)+5
=(x-y-5)(x-y-1)