Binomial Theorem

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Q. Find the coefficient of x^2 in the expansion of (2x - 3)^4.
  • A. 36
  • B. 48
  • C. 54
  • D. 72
Q. Find the value of k in the expansion of (x + 2)^6 such that the term containing x^4 is 240.
  • A. 4
  • B. 5
  • C. 6
  • D. 3
Q. Find the value of the coefficient of x^4 in the expansion of (x - 2)^6.
  • A. 15
  • B. 20
  • C. 30
  • D. 40
Q. In the expansion of (2x - 3)^4, what is the coefficient of x^3? (2023)
  • A. -108
  • B. -72
  • C. 72
  • D. 108
Q. In the expansion of (2x - 3y)^5, what is the coefficient of x^3y^2?
  • A. -720
  • B. -540
  • C. 540
  • D. 720
Q. In the expansion of (3x - 4)^7, what is the coefficient of x^5? (1920)
  • A. 1260
  • B. 1440
  • C. 1680
  • D. 1920
Q. In the expansion of (a + b)^n, if the coefficient of a^3b^2 is 60, what is the value of n?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. In the expansion of (x + 3)^5, what is the coefficient of x^3?
  • A. 60
  • B. 90
  • C. 100
  • D. 120
Q. In the expansion of (x + 3)^6, what is the coefficient of x^4?
  • A. 540
  • B. 720
  • C. 810
  • D. 900
Q. In the expansion of (x - 1)^8, what is the coefficient of x^5?
  • A. -56
  • B. -8
  • C. 8
  • D. 56
Q. What is the 4th term in the expansion of (3x + 2)^6?
  • A. 540x^4
  • B. 540x^3
  • C. 720x^4
  • D. 720x^3
Q. What is the coefficient of x^2 in the expansion of (2x + 5)^4?
  • A. 60
  • B. 80
  • C. 100
  • D. 120
Q. What is the coefficient of x^2 in the expansion of (2x - 5)^5? (2019)
  • A. -300
  • B. -600
  • C. 600
  • D. 300
Q. What is the coefficient of x^3 in the expansion of (3x + 2)^5? (2023)
  • A. 90
  • B. 180
  • C. 270
  • D. 360
Q. What is the sum of the coefficients in the expansion of (2x - 3)^4?
  • A. -81
  • B. 81
  • C. 0
  • D. 64
Q. What is the sum of the coefficients in the expansion of (x + 1)^8?
  • A. 256
  • B. 512
  • C. 128
  • D. 64
Q. What is the value of the 5th term in the expansion of (x + 2)^7?
  • A. 672
  • B. 672x^4
  • C. 672x^3
  • D. 672x^2
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