x^2-2xy+y^2-2x+2y-3 因式分解

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x^2-2xy+y^2-2x+2y-3 因式分解

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

x^2-2xy+y^2-2x+2y-3 因式分解
x^2-2xy+y^2-2x+2y-3
=(x-y)^2-2(x-y)-3
=(x-y-3)(x-y+1)

原式=(x-y)²-2(x-y)-3
=(x-y-3)(x-y+1)

x^2-2xy+y^2-2x+2y-3
=(x-y)^2-2(x-y)-3
(x-y-3)(x-y+1)

令x-y=a 可得a^2 - 2a - 3 = (a+1)(a-3) 即 (x-y+1)(x-y-3)