Question

if x = 3-2√2 find x^3-1/x3

Answer 1

(x+1x)2 =x2+1x2+2(x+1x)2 =x2+1x2+2  and find out the value of x+1xx+1x

Then use the following identity to find the required value: (x+1x)3 =x3+1x3+3(x+1x)(x+1x)3 =x3+1x3+3(x+1x)