Mathematics · 2022
JEE Main · 25 June 2022, Shift 2 · Q24
If the sum of the co-efficients of all the positive even powers of x in the binomial expansion of (2 x^3+3/x)^10 is 5^10-β · 3^9, then β is equal to…
If the sum of the co-efficients of all the positive even powers of $\displaystyle x$ in the binomial expansion of $\displaystyle \left(2 x^3+\frac{3}{x}\right)^{10}$ is $\displaystyle 5^{10}-\beta \cdot 3^9$, then $\displaystyle \beta$ is equal to \_\_\_\_.
Official answer
83
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.