quadratic equations

if x = 2 + 2^2/3 + 2^1/3 , then the value of x^3 -6x^2 +6x is ---???

2 Answers

x= 2+ 2^2/3+2^1/3

(x-2)³= (2^2/3+2^1/3)³

x³-6x²+12x-8 = (2^2/3)³ +3(2^2/3)²(2^1/3) + 3(2^1/3)²(2^2/3) +( 2^1/3)³

x³-6x²+12x-8 = 4 + 2 + 3(2^2/3)(2^1/3) [2^2/3+2^1/3]

x³-6x²+12x-8 = 6 + (3)(2) (x-2)

x³-6x²+12x-8 = 6+6x - 12

x³-6x²+12x - 6x = -6+8 = 2

x³-6x²+6x = 2

???ans matching ?

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