The coefficient of x18 in the product of (1+x)(1−x)101+x+x29  is 

The coefficient of x18 in the product of (1+x)(1x)101+x+x29  is 

  1. A

    84

  2. B

    -126

  3. C

    126

  4. D

    -84

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    Solution:

    =Coefficient of x18 in (1+x)(1x)101+x+x29

    = Coefficient of x18 in 1x2(1x)1+x+x29

    = Coefficient of  x18 in 1x21x39

    =Coefficient of x18 in 1x219C1x3+9C2x69C3x9++9C6x189C9x272x9C6=84

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