已知x눀-x-2xy+y+y눀,求代数式봀(x눀+y눀)-xy的值

x눀-x-2xy+y+y눀=2,求代数式봀(x눀+y눀)-xy的值
2025-05-20 20:22:08
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回答1:


x²-x-2xy+y+y²=0吧,若不是,就追问吧

解:x²-x-2xy+y+y²=0
(x-y)²-(x-y)=0
(x-y)(x-y-1)=0
x-y=0,或x-y=1

½(x²+y²)-xy
=½(x²+y²)-1/2*2xy
=1/2(x²+y²-2xy)
=1/2(x-y)²
=0或1/2