（ _____x______ -1) + _____x²+2x+1_______
x-1 x²-1
=（ _____x_-x+1_____ ) + _____(x+1)²______
x-1 (x+1)(x-1)
= _____1_____ + _____(x+1)______
x-1 (x-1)
= _____x+2____
x-1
如图所示
(x/(x-1))-1+(x^2+2x+1)/(x^2-1)先因式分解
(x^2+2x+1)/(x^2-1)得(x+1)^2/(x+1)(x-1)化简得(x+1)/(x-1)
对前半部分通分得1/(x-1)相加得(x+2)/(x-1)
内容全部来源于网络收集，如有侵权，请联系网站删除：QQ：24596024