用简便方法运算,计算:(x^2-2x+1-y^2)÷(x+y-1)

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用简便方法运算,计算:(x^2-2x+1-y^2)÷(x+y-1)

用简便方法运算,计算:(x^2-2x+1-y^2)÷(x+y-1)
用简便方法运算,
计算:(x^2-2x+1-y^2)÷(x+y-1)

用简便方法运算,计算:(x^2-2x+1-y^2)÷(x+y-1)
(x²-2x+1-y²)÷(x+y-1)=[(x²-2x+1)-y²]÷(x+y-1)
=[(x-1) ²-y²]÷(x+y-1)
=(x-1+y)(x-1-y) ÷(x+y-1)
=x-y-1