The Problem isnt very difficult unless I am very much mistaken,
Let a=(1+k) 1/3 and b =(k)1/3
Then the denominator reduces to a2 + b2 + ab =( a3 - b3 )/(a-b)
But a3 - b3 = 1
therefore substituting and by telescopic cancellation,
ans is 6 - 1 =5
That solves the problem!
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