先化简,再求值:[(x-y)2+(x+y)(x-y)]÷2x,其中x=3,y=-1.5.-数学

题目简介

先化简,再求值:[(x-y)2+(x+y)(x-y)]÷2x,其中x=3,y=-1.5.-数学

题目详情

先化简,再求值:[(x-y)2+(x+y)(x-y)]÷2x,其中x=3,y=-1.5.
题型:解答题难度:中档来源:江西

答案

解法一:[(x-y)2+(x+y)(x-y)]÷2x,
=[(x-y)(x-y)+(x+y)]÷2x,
=(2x2-2xy)÷2x,
=x-y,
当x=3,y=-1.5时,原式=3-(-1.5)=4.5;

解法二:[(x-y)2+(x+y)(x-y)]÷2x,
=[(x2-2xy+y2)+(x2-y2)]÷2x,
=(2x2-2xy)÷2x,
=x-y,
当x=3,y=-1.5时,原式=3-(-1.5)=4.5.

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