因式分解:x^2-y^2-4x-6y-13

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因式分解:x^2-y^2-4x-6y-13

因式分解:x^2-y^2-4x-6y-13
因式分解:x^2-y^2-4x-6y-13

因式分解:x^2-y^2-4x-6y-13
x²-y²-4x-6y-5
=(x²-4x+4)-(y²+6y+9)
=(x-2)²-(y+3)²
=(x-2+y+3)(x-2-y-3)
=(x+y+1)(x-y-5)

x²-y²-4x-6y-13
=(x²-4x-5)-(y²+6y+8)
=(x-5)(x+1)-(y+2)(y+4)
貌似不能再分下去了

=(x²-4x+4)-(y²+6y+9)
=(x-2)²-(y+3)²
=(x-2+y+3)(x-2-y-3)
=(x+y+1)(x-y-5)