(2x^4+x^3+2x^2+x)/(x^3+1)=2x+1+(2x^2-x-1)/(x^3+1)是怎么转化的_数学解答

(2x^4+x^3+2x^2+x)/(x^3+1)=2x+1+(2x^2-x-1)/(x^3+1)是怎么转化的

人气：169 ℃　时间：2020-10-01 16:41:48

解答

(2x^4+x^3+2x^2+x)/(x^3+1)
=(2x^4+2x+x^3+1+2x^2-x-1)/(x^3+1)
=[2x(x^3+1)+(x^3+1)+(2x^2-x-1)]/(x^3+1)
=2x+1+(2x^2-x-1)/(x^3+1)