已知x,y互为相反数,且(x+2)²-(y+1)²=5,求x²y-y²x的值.
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已知x,y互为相反数,且(x+2)²-(y+1)²=5,求x²y-y²x的值.
已知x,y互为相反数,且(x+2)²-(y+1)²=5,求x²y-y²x的值.
已知x,y互为相反数,且(x+2)²-(y+1)²=5,求x²y-y²x的值.
带入x=-y可得
(2-y)^2-(y+1)^2=5
y^2-4y+4-y^2-2y-1=5
-6y=2
y=-1/3
x=1/3
原式=xy(x-y)
=(-1/9)*(1/3+1/3)
=-2/27