If p=2^2/3+2^1/3 the which of the following is true
A. p^3-6p-6=0
B. p^3-6p+6=0
C. p^3+6p-6=0
D. p^3+6p+6=0
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p=2^2/3+2^1/3
cubing both sides
p^3=(2^2/3+2^1/3)^3
p^3=(2^2/3)^3+(2^1/3)^3+3.2^2/3.2^1/3(2^2/3+2^1/3)
p^3=4+2+3.2^((2+1)/3)(p)
p^3=6+3.2.p
p^3-6-6p=0
(A) is correct