已知:x+y=1,xy=-1/2,则x(x+y)(x-y)-x(x+y)^2=

如题所述

解:x(x+y)(x-y)-x(x+y)^2
=x(x+y)〔(x-y)-(x+y)〕
=x(x+y)(-2y)
=-2xy(x+y)
把x+y=1,xy=-1/2代入-2xy(x+y)可得:
-2xy(x+y)
=-2*(-1/2)*1
=1
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第1个回答  2011-04-24
x+y=1,xy=-1/2
x(x+y)(x-y)-x(x+y)^2
= x(x+y)(x-y-x-y)
=-2xy(x+y)
=-2*(-1/2)*1
=1

已知:x+y=1,xy=-1\/2,则x(x+y)(x-y)-x(x+y)^2=
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