Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a3 = b3 + 988 and a - b = 4, then what is the value of 2a2 + 2ab + 2b2 ?

Options:

516

494

500

247

Correct Answer:

494

Explanation:

If a3 = b3 + 988

a - b = 4

According to the question, 

a3 - b3 = 988

a3 - b3 = ( a - b ) ( a2 + b2 + ab )

988 = 4 ( a2 + b2 + ab )

( a2 + b2 + ab ) = 247

 2a2 + 2ab + 2b2  = 2 × 247 = 494