先化简再求值
问题描述:
先化简再求值
先化简再求值:(x-x/x+1)(x+1/x^2+4x+4)(x^2-4/x^2-2x),其中x=-0.5
答
[x-x/(x+1)][(x+1)/(x^2+4x+4)][(x^2-4)/(x^2-2x)]
=[x^2/(x+1)][(x+1)/(x+2)^2][(x+2)(x-2)/x(x-2)]
=x/(x+2)
当x=-0.5时
原式=-0.5/(-0.5+2)=-1/3