因式分解:x^2-6x+y^2+6y-2xy+5

问题描述:

因式分解:x^2-6x+y^2+6y-2xy+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)

原式=(x-y-1)*(x-y-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)