Correct Answer - d
We have,
`(1 - x)^(2008) (1 + x + x^(2))^(2007) = (1 - x) (1 - x^(3))^(2007)`
`= (1 - x^(3))^(2007) - (1 - x^(3))^(2007)`
We find that `x^(2012)` is of the form `x^(3r +2)` where as `(1 - x^(3))^(2007)`
contains terms of the form `x^(3r+1)`. So, there is no term containing `x^(2012)` in the
given expansion.
Hence, cefficient of `x^(2012)` is zero.
