Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a3 - b3 = 2349, a - b = 9, then find the value of (a + b)2 - ab.

Options:

196

250

261

274

Correct Answer:

261

Explanation:

Formula → a3 - b3 = (a - b) (a2 + b2 + ab)

2349 = 9 (a2 + b2 + ab) 

we can write a2 - b2 + ab as ⇒ (a + b)- ab

So, (a + b)2 - ab = \(\frac{2349}{9}\) = 261