比较两个代数式的大小：当x>1时,x三次方与x²-x+1

x³-(x²-x+1)
=x³-x²+x-1
=x²(x-1)+(x-1)
=(x²+1)(x-1)
x²+1恒>0
x>1 x-1>0
(x²+1)(x-1)>0
x³-(x²-x+1)>0
x³>x²-x+1