问题 解答题

先化简,再求值.已知x=-1,y=2,求-(x2+y2)+[-3xy-(x2-y2)]的值.

答案

-(x2+y2)+[-3xy-(x2-y2)]

=-x2-y2+[-3xy-x2+y2]

=-x2-y2-3xy-x2+y2

=-2x2-3xy,

当x=-1,y=2时,

原式=-2x2-3xy                 

=-2×(-1)2-3×(-1)×2       

=-2-(-6)

=4.

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