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NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The coefficient of x 4 in the expansion 1 - x 8 1 + x 12 is equal to

Options

  1. A1
  2. B- 48
  3. C28
  4. D- 19

Correct answer

D. - 19

Step-by-step solution

1 - x 8 1 + x 12 = 1 - x 2 8 1 + x 4 = 1 - 8 x 2 + 28 x 4 … . 1 + 4 x + 6 x 2 + 4 x 3 + x 4 Coefficient of x 4 = 1 - 48 + 28 = - 19

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