问题
解答题
先化简,再求值.4xy-[2(x2+xy-2y2)-3(x2-2xy+y2)],其中x=-
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答案
∵4xy-[2(x2+xy-2y2)-3(x2-2xy+y2)]
=4xy-(2x2+2xy-4y2-3x2+6xy-3y2)
=x2-4xy+7y2,
∴当x=-
,y=1 2
时,1 2
原式=x2-4xy+7y2=(-
)2-4×(-1 2
)×1 2
+7×(1 2
)2=1 2
+1+1 4
=3.7 4