What is the coefficient of x in the expa

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Home Questions VUGH26N8S4

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the coefficient of x in the expansion of (3x - 4)³ ?

Options:

108

-108

144

-144

Correct Answer:

144

Explanation:

Given,

(3x – 4)³

(a – b)³ = a³ – b³ – 3ab(a – b)

So,

(3x – 4)³ = (3x)³ – (4)³ – 3 × 3x × 4(3x – 4)

= 27x³ - 64 - 36x(3x – 4)

= 27x³ - 64 - 108x² + 144x

So, The coefficient of x in (3x – 4)³ = 144