Question

if x²+1/x²=11, find the value of x³- 1/x3​

Answer 1

Answer:

36

Step-by-step explanation:

( x - 1/x )^ 2 = x^2 + 1/x^2 -2

( x - 1/x )^ 2 = 11 - 2

x- 1/x = 3

(x -1/x ) ^ 3 = x^ 3 - 1/ x^3 - 3 ( x -1/x)

27 = x^3 - 1/x^3 -9

x^3 - 1/x ^ 3 = 27 + 9

x^ 3 - 1/x ^ 3 = 36

Answer 2

answer is 36

HOPE IT HELPS