Ex 8.2, 11 - Prove that coefficient of xn in (1 + x)2n - Coefficient

  1. Chapter 8 Class 11 Binomial Theorem
  2. Serial order wise
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Ex 8.2,11 Prove that the coefficient of xn in the expansion of (1 + x)2n is twice the coefficient of xn in the expansion of (1 + x)2n–1 . We know that General term of (a + b)n is Tr + 1 = nCr an – r . br We have to prove coefficient of xn in (1 + x)2n = 2 × Coefficient of xn in (1 + x)2n – 1 i.e. 2nCn = 2 × 2n-1Cn

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