原式=-x³+x²-x²+2x+2009=-x(x²-x)-x²+2x+2009=-x²+x+2009=2008
2008
2010
由x2-x-1=0可得-x3+x2+x=0-x2+x+1=0-x3+2x+1=0故,代数式-x3+2x+2009=2008
X^2=X+1 ,(移项)-X^3+2X+2009= - X(X^2-2)+2009=-X(X-1)+2009=-X^2+X+2009=-X-1+X+2009=2008(一直用X^2=X+1来代入)