Question

if x-1/x=1, find the value of x^3-1/x^3

Answer 1

Step-by-step explanation:

using the indentity

(a-b) ^3=a^3-b^3-3ab(a-b)

Answer 2

Answer: 3/x

Step-by-step explanation:

x-1/x=1

x/x - 1/x = 1

1-1/x=1

cube both sides

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

remember 1-1/x =1 so:

1-1/x^3 -3/x= 1

1-1/x^3=3/x