The coefficient of x²⁰¹² in the expansion of (1-x)²⁰⁰⁸(1+x+x²)²⁰⁰⁷ is equal to _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2024 Mathematics question

JEE Main 2024 · 27 Jan, Evening shift · Q27

JEE Main 202427 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of

x^{2012}

in the expansion of

(1-x)^{2008}\left(1+x+x^2\right)^{2007}

is equal to _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2024 · 27 Jan, Evening shift · Q27

JEE Main 202427 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of

x^{2012}

in the expansion of

(1-x)^{2008}\left(1+x+x^2\right)^{2007}

is equal to _________.

Your answerType your answer. Integers and decimals are accepted.