Binomial Theorem

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Q. Calculate the coefficient of x^2 in the expansion of (x + 5)^6.
  • A. 150
  • B. 180
  • C. 200
  • D. 250
Q. Find the coefficient of x^5 in the expansion of (2x - 3)^8.
  • A. 6720
  • B. 672
  • C. 720
  • D. 7200
Q. Find the value of (a + b)^4 when a = 2 and b = 3.
  • A. 81
  • B. 64
  • C. 100
  • D. 125
Q. In the expansion of (2x + 3y)^4, what is the coefficient of x^2y^2?
  • A. 108
  • B. 144
  • C. 216
  • D. 288
Q. In the expansion of (x - 2y)^6, what is the coefficient of x^4y^2?
  • A. 180
  • B. 240
  • C. 300
  • D. 360
Q. What is the coefficient of x^3 in the expansion of (2x + 3)^5?
  • A. 90
  • B. 180
  • C. 150
  • D. 120
Q. What is the coefficient of x^4 in the expansion of (x + 1)^8?
  • A. 70
  • B. 80
  • C. 90
  • D. 100
Q. What is the coefficient of y^3 in the expansion of (x + 2y)^6?
  • A. 80
  • B. 120
  • C. 160
  • D. 240
Q. What is the constant term in the expansion of (3x - 4)^7?
  • A. -16384
  • B. 2187
  • C. -2187
  • D. 16384
Q. What is the sum of the coefficients in the expansion of (x + 1)^5?
  • A. 6
  • B. 32
  • C. 25
  • D. 31
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