Question

Xpower3+1/xpower3if X+1/x=4

Answer 1

Answer:

52

Step-by-step explanation:

x + 1/x = 4

Cubing both sides,

x³ + 1/x³ + 3x²*1/x + 3x*1/x² = 64

x³ + 1/x³ + 3x +3/x = 64

x³ + 1/x³ +3(x+1/x) = 64

x³ + 1/x³ +3*4 = 64

x³ + 1/x³ = 64-12

x³ + 1/x³ = 52