Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (a-b) = 5 and ab= 150, then what is the value of (a3-b3)?

Options:

2640

1125

2375

2250

Correct Answer:

2375

Explanation:

If (a-b) = 5 and ab= 150

Then, 

( a - b )2 = a2 + b2 - 2ab

(5)2 = a2 + b2 - 2 × 150

 a2 + b2  = 325

a3 - b3 = ( a - b ) ( a2 + b2 + ab )

a3 - b3 = ( 5 ) ( 325 + 150 )

a3 - b3 = 2375