Question

if x+1/x = 2 than find x^3 + 1/x^3​

Answer 1

x + 1/x = 2

→ ( x + 1/x)3 = 23

→ x3 + 1/x3 +3(x + 1/x) = 8

→ x3 + 1/x3 + 3 x 2 = 8

→ x3 + 1/x3 = 2.