设A=1+2x*x*x*x,b=2x*x*x+x*x,x为实数不等于1,比较A,B大小

A=1+2x×x×x×x=2X^4+1 B=2x×x×x+x×x=2X^3+X^2 A-B=2X^4+1-(2X^3+X^2) =2X^4-2X^3-X^2+1 =2X^3(X-1)-(X-1)(X+1) =(X-1)(2X^3-X-1) =(X-1)(X-1)(2X^2+2X+1) =(X-1)^2×[X^2+(X+1)^2] 而x为实数不等于1,所以(X-1)^...