计算下列各题:(1+x)(x-1/x²+x-1-x/x³-x)
问题描述:
计算下列各题:(1+x)(x-1/x²+x-1-x/x³-x)
答
原式=(x+1)[(x-1)/x(x+1)+(x-1)/x(x+1)(x-1)]
=(x+1)[(x-1)/x(x+1)+1/x(x+1)]
=(x+1)(x-1+1)/x(x+1)
=x(x+1)/x(x+1)
=1