因式分解x^2-2xy-3y^2+8y-4

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因式分解x^2-2xy-3y^2+8y-4因式分解x^2-2xy-3y^2+8y-4因式分解x^2-2xy-3y^2+8y-4原式=(x²-2xy+y²)-(4y²-8y

因式分解x^2-2xy-3y^2+8y-4
因式分解x^2-2xy-3y^2+8y-4

因式分解x^2-2xy-3y^2+8y-4
原式=(x²-2xy+y²)-(4y²-8y+4)
=(x-y)²-(2y-2)²
=(x-y+2y-2)(x-y-2y+2)
=(x+y-2)(x-3y+2)

=(x-3y)(x+y)+8y-4
=(x-3y+2)(x+y-2)

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