The coefficient of x⁻⁶, in the expansion of ((4 x)/5+5/(2 x²))⁹, is

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Evening shift · Q29

JEE Main 202331 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of

x^{-6}

, in the expansion of

\left(\frac{4 x}{5}+\frac{5}{2 x^{2}}\right)^{9}

, is

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 · 31 Jan, Evening shift · Q29

JEE Main 202331 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of

x^{-6}

, in the expansion of

\left(\frac{4 x}{5}+\frac{5}{2 x^{2}}\right)^{9}

, is

Your answerType your answer. Integers and decimals are accepted.