Question

A number of 3 more than its reciprocal. what is the difference between their respective cubes​

Answer 1

Answer:

Step-by-step explanation:

The difference between their respective cubes is 36

Step-by-step explanation:

Let the number be x

The reciprocal of the number will be 1/x

According to the question

We know that

or,

Therefore,

The difference between the cube of the numbers is 36

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Answer 2

Answer:

18

Step-by-step explanation:

Let the number be x.

A.T.Q,

x = 3 + 1/x

or, x - 1/x = 3

or, (x - 1/x)^3 = 27

or, x^3 - 1/(x^3) - 3×x×(1/x)×(x - 1/x) = 27

or,x^3 - 1/(x^3) - 3×3 = 27

or, x^3 - 1/(x^3) = 27- 9 = 18(Answer)