Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - b = 2 and a3 − b3 = 80, then what will be the value of ab?

Options:

12

-24

24

-12

Correct Answer:

12

Explanation:

a3 - b3 = (a - b)3 + 3ab(a - b)

a3 - b3  = 80

= (a - b)3 + 3ab(a - b) = 80

= 23 + 3ab × 2 = 80

= ab = 12