Question

If
$x = 2 \sqrt{3}$
Find the value of
$(x + \frac{1}{x} )^{3} + 2(x + \frac{1}{x} )^{2} + (x + \frac{1}{x}) - 100$
​

Answer 1

Please see the attachment

Answer 2

(x+1÷x)=(x^2+1÷x)= (13÷2√3)

(x+1÷x)^3=(13÷2√3)^3

(x+1÷x)^2=(13÷2√3)^2

Put the value in respective place take lCM which will be 72 and solve it.