NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The coefficient of x 13 in the expansion of 1 - x 5 1 + x + x 2 + x 3 4 is

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Correct answer

D. 4

Step-by-step solution

Let, E = 1 - x 5 1 + x 1 + x 2 4 = 1 - x 1 - x 4 1 + x 4 1 + x 2 4 = 1 - x 1 - x 2 4 1 + x 2 4 = 1 - x 1 - x 4 4 = 1 - x 1 - 4 x 4 + 6 x 8 - 4 x 12 + x 16 Coefficient of x 13 is - 1 - 4 = 4

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