x²-2xy+y²分之x²-y²,其中x²+y²-2x-6y

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/14 01:07:02

x²-2xy+y²分之x²-y²,其中x²+y²-2x-6y+10=0 先化简,再求值

x²+y²-2x-6y+10=0
x²-2x+1+y²-6y+9=0
(x-1)²+(y-3)²=0
(x-1)²=0,(y-3)²=0
x=1
y=3
(x²-y²)/(x²-2xy+y²)
=(x-y)(x+y)/(x-y)²
=(x+y)/(x-y)
=(1+3)/(1-3)
=-2

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