If x=1+√2, evaluate x³+1/x³.

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x) 3=33

x3+3. x2.1x+3. x. 1x2+1x3=27

(x3+1x3) + 3. x2.1x+3. x. 1x2=27

x3+1x3 + (3x+3x) = 27

x3+1x3+3 (x+1x) = 27

x3+1x3+3*3=27

x3+1x3+9=27

x3+1x3=18

Therefore the answer is 18