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