Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a2 + b2 + c2 + 27 = 6 (a + b + c)

then, \(\frac{a^3 + b^3 - c^3}{3}\) is?

Options:

3

6

9

27

Correct Answer:

9

Explanation:

a2 + b2 + c2 + 27 = 2 (3a + 3b + 3c)

We can directly conclude from ↑

a = 3, b = 3, c = 3

Hence,

\(\frac{a^3 + b^3 - c^3}{3}\) = \(\frac{27 + 27 - 27}{3}\) = 9