问题
解答题
先化简,再求值 (1)(x+2)2-(x+1)(x-1),其中x=1.5 (2)[(x+2y)2-(x+y)(3x-y)-5y2]÷2x,其中x=-2,y=
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答案
(1)原式=x2+4x+22-(x2-12),
=x2+4x+22-x2+12,
=4x+5,
当x=1.5时,原式=4×1.5+5=11.
(2)原式=[x2+4xy+4y2-(3x2-xy+3xy-y2)-5y2]÷2x,
=[x2+4xy+4y2-3x2+xy-3xy+y2-5y2]÷2x,
=(-2x2+2xy)÷2x,
=-x+y,
当x=-2,y=
时,1 2
原式=-(-2)+
,1 2
=2.5.