已知x=-2,求(2x)/(x³+2x²+x)÷(x-1)/(x²+x)的值

问题描述:

已知x=-2,求(2x)/(x&sup3+2x&sup2+x)÷(x-1)/(x&sup2+x)的值

原式=2x/[x(x+1)²]×x(x+1)/(x-1)
=2/(x+1)²×x(x+1)/(x-1)
=2x/(x+1)(x-1)
=2x/(x²-1)
=-4/(4-1)
=-4/3