Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - \(\frac{1}{a - 3}\) = 3

Then find , (a - 3)3 - \(\frac{1}{(a - 3)^3}\)

Options:

0

18

2

10

Correct Answer:

0

Explanation:

Given = a - \(\frac{1}{a - 3}\) = 3

By subtracting 3 on both sides we get,

(a - 3) - \(\frac{1}{a - 3}\) = 3 - 3 = 0

(a - 3)3 - \(\frac{1}{(a - 3)^3}\) = 03 + 3 × 0 = 0

 

Note - if x -  \(\frac{1}{x}\) = a

then x3 - \(\frac{1}{x^3}\) =  a3 + 3a