Question

hi ❤️guys

good afternoon ✌️✌️

please solve my question

✍️✍️✍️✍️✍️✍️✍️

$if \: x = 2 + \sqrt{3} \:find(x - \frac{1}{x} \:) {}^{3}$
who give the answer first and i will absolutely mark in brainliest and please solve with explanation
thank you ❤️❤️

.........​

Answer 1

here's your answer hope it helps you

Answer 2

Answer:

Step-by-step explanation:

x= 2 + √3

1/x = 1/(2 + √3)

= (2 -√3)/(2 +√3)(2 -√3)

= (2 -√3)/(2² -√3²)

= (2 - √3)

hence, x + 1/x = (2+√3)+(2-√3) = 4

x³ + 1/x³ = (x + 1/x)³ -3(x + 1/x)

= (4)³ - 3(4)

= 64 -12

= 52

hope it will help you..