计算:(3/x)+(x/x²-1)-(4/1-x)

问题描述:

计算:(3/x)+(x/x²-1)-(4/1-x)

由原式=3/x+x/(x+1)(x-1)+4/(x-1)
=[3(x²-1)+x²+4(x²-1)]/x(x+1)(x-1)
=(4x³+4x²-4x-3)/x(x+1)(x-1)