All Categories Alerts Wishlist Cart

What is the term independent of x in the expansion of (3x - 2)^6?

Practice Questions

1 question
Q1
What is the term independent of x in the expansion of (3x - 2)^6?
  1. 20
  2. 30
  3. 40
  4. 50

Questions & Step-by-step Solutions

1 item
Q
Q: What is the term independent of x in the expansion of (3x - 2)^6?
Solution: The term independent of x occurs when k = 3. Using the binomial theorem, the term is C(6,3) * (3x)^3 * (-2)^(6-3) = 20 * 27 * -8 = -4320.
Steps: 0

Related Questions

W
What is the 3rd term in the expansion of (x + 3)^7? (2023)
Question: What is the 3rd term in the expansion of (x + 3)^7? (2023)Options: 1894417291024Correct An..
W
What is the coefficient of x^4 in the expansion of (x + 1)^8? (2020)
Question: What is the coefficient of x^4 in the expansion of (x + 1)^8? (2020)Options: 7056288Correc..
W
What is the value of (3 + 5) × (2 - 1)? (2020)
Question: What is the value of (3 + 5) × (2 - 1)? (2020)Options: 816106Correct Answer: 8Solution: (3..
F
Find the value of 5! (5 factorial). (2019)
Question: Find the value of 5! (5 factorial). (2019)Options: 12010015090Correct Answer: 120Solution:..
C
Calculate the area of a triangle with base 10 cm and height 5 cm. (2021)
Question: Calculate the area of a triangle with base 10 cm and height 5 cm. (2021)Options: 25 cm²50 ..
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely