JEE Main 2004Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002The coefficient of xn{x^n}xn in expansion of (1+x)(1−x)n\left( {1 + x} \right){\left( {1 - x} \right)^n}(1+x)(1−x)n isAOption A. (−1)n−1n{\left( { - 1} \right)^{n - 1}}n(−1)n−1nBOption B. (−1)n(1−n){\left( { - 1} \right)^n}\left( {1 - n} \right)(−1)n(1−n)COption C. (−1)n−1(n−1)2{\left( { - 1} \right)^{n - 1}}{\left( {n - 1} \right)^2}(−1)n−1(n−1)2DOption D. (n−1)\left( {n - 1} \right)(n−1)CheckSkip · show solution
