(\root(3)(x+1)-\root(3)(x))((\root(3)(x+1))^(2)+\root(3)(x+1)\root(3)(x)+(\root(3)(x))^(2))
+9481 Is this your problem?
( ³√( x + 1 ) - ³√( x ) )( ³√( x + 1 )2 + ³√( x + 1 )³√( x ) + ³√( x )2 )
Since (a - b)(a2 + ab + b2) = a3 - b3
so does...
( ³√( x + 1 ) - ³√( x ) )( ³√( x + 1 )2 + ³√( x + 1 )³√( x ) + ³√( x )2 ) = ³√( x + 1 )3 - ³√( x )3
= x + 1 - x = 1
