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NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The coefficient of x 6 in the expansion of 1 - x 8 1 + x 12 is equal to

Options

  1. A168
  2. B- 8
  3. C28
  4. D104

Correct answer

D. 104

Step-by-step solution

1 - x 8 1 + x 12 = 1 - x 2 8 1 + x 4 = 1 - 8 x 2 + 28 x 4 - 56 x 6 + … 1 + 4 x + 6 x 2 + 4 x 3 + x 4 Hence, the coefficient of x 6 = - 8 + 168 - 56 = 160 = 104

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