Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The coefficient of y in the expansion of (2y - 5)3, is:

Options:

150

50

-30

-150

Correct Answer:

150

Explanation:

(2y – 5)3

We know that = (a - b)3 = a3 - b3 - 3ab(a-b)

= (2y)3 – 53 – 3 × 2y × 5 (2y – 5)

= 8y3 – 125 – 60y2 + 150y

Coefficient of y = 150.