分解因式x^2-6xy+9y^2-2x+6y=

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分解因式x^2-6xy+9y^2-2x+6y=

x^2-6xy+9y^2-2x+6y
=(x^2-6xy+9y^2)-(2x-6y)
=(x-3y)^3-2(x-3y)
=(x-3y)(x-3y-2)

x^2-6xy+9y^2-2x+6y=(x-3y)^2-2(x-3y)=(x-3y)(x-3y-2)

原式=(x-3y)^2-2x+6y
=(x-3y)^2-2(x-3y)
=(x-3y)(x-3y-2)