Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the value of (a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2} ?

Options:

2a3 + 2b3 +2c3

2a3 + 2b3 +2c3 - 6abc

3abc

6abc

Correct Answer:

2a3 + 2b3 +2c3 - 6abc

Explanation:

(a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2} = ?

We know that ,

a3 + b3 + c3 - 3abc = \(\frac{1}{2}\)[(a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2}]

2a3 + 2b3 +2c3 - 6abc = (a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2}