先化简,再求值.已知x=-1,y=2,求-(x2+y2)+[-3xy-(x2-y2)]的值.
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解:-(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.
解析分析:先根据整式的加减法则把原式进行化简,再把xy的值代入进行计算即可.
点评:本题考查的是整式的加减-化简求值,熟知整式的加减法则是解答此题的关键.