Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The coefficient of x2 in (2x + y)3 is:

Options:

8

12y2

12y

12

Correct Answer:

12y

Explanation:

(a + b)3 = a3 + b3 + 3ab(a+b)

(2x + y)3

= (2x)3 + y3 + 3 × 2x × y (2x + y)

= 8x3 + y3 + 12x2y + 6xy2

= Coefficient of x2 = 12y