If the constant term in the expansion of (1 + 2x - 3x^3) ( 32x^2 - 1 3x )^9 is p, then 108p is equal to

JEE Main 2024 Mathematics question

If the constant term in the expansion of is p, then 108p is equal to

Answer: 54

In the 9th power, the term with k factors of (−1/3x) has exponent 18 − 3k. The constant term of the product needs exponent 0 from the factor 1 (k =

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Question ID VK-011569