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NDA2010MathematicsBinomial TheoremActual

What is the coefficient of x^4 in the expansion of ( 1-x 1+x )^2 ?

Options

  1. A-16
  2. B16
  3. C8
  4. D-8

Correct answer

B. 16

Step-by-step solution

aligned & Coefficient of x^4 in (1-2 x+x^2 )(1+x)⁻² & Coefficient of x^4 in (1-2 x+x^2 )(1-2 x+ & . 3 x^2-4 x^3+5 x^4- ) & 5+8+3 & 16 aligned

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