If x =2 + (2)^2/3 +( 2)^1/3, then the value of x3 - 6x2 + 6x is
(A) 3
(B)2
(C) 1
(D) none of these
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Answer:
x =2 + (2)^2/3 +( 2)^1/3
x = 2+ 4/3+ 2/3
x = 4
x3 - 6x2 + 6x = 4^3- 6*4^2 + 6*4
= 12-96+24
= -108
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