2x/(x³+2x²+x)除以(x-1)/(x²+x),其中x=-2

问题描述:

2x/(x³+2x²+x)除以(x-1)/(x²+x),其中x=-2

2x/(x³+2x²+x)除以(x-1)/(x²+x)
=2x/x(x+1)²*(x²+x)/(x-1)
=2/(x+1)²*x(x+1)/(x-1)
=2x/(x+1)(x-1)
=2x/(x²-1)
=2×(-2)/(4-1)
=-4/3