Question

If
$x = 2 + {3}^{ \frac{2}{3} } + {3}^{ \frac{1}{3} }$
Then the value of the following is

${x}^{3} - 6 {x}^{2} + 3x - 2$
​

Answer 1

solution:

$x3 - 6x2 + 3x - 2 \\ = 81 + 243 - 486 - 54 \\ = ( - 216)power \: 3 \\ so \: answer \: is = - 6$