超简单分式题
问题描述:
超简单分式题
【x的平方+2x+1】分之【x的平方-1】-【x-1]分之【x+1】等于多少
答
(x²-1)/(x²+2x+1) - (x+1)/(x-1)=(x+1)(x-1)/(x+1)(x+1) - (x+1)/(x-1)=(x-1)/(x+1) - (x+1)/(x-1)=[(x-1)²-(x+1)²]/(x+1)(x-1)=-4x/(x+1)(x-1)