Home » Further Mathematics » Find the coefficient of (x^{4}) in the binomial expansion of ((2 + x)^{6}).

Find the coefficient of (x^{4}) in the binomial expansion of ((2 + x)^{6}).

Find the coefficient of (x^{4}) in the binomial expansion of ((2 + x)^{6}).

  • A.
    120
  • B.
    80
  • C.
    60
  • D.
    15
Correct Answer: Option C
Explanation

((2 + x)^{6} )

(x^{4} = ^{6}C_{2}(2^{2})(x^{4}) = 15 times 4 = 60)

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