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If the term independent of x in the expansion of ( (3/2)x² - 1/(3x))⁹ is k, then 18k is equal to -

1. 5
2. 11
3. 7
4. 9

Correct answer: 7

Solution

To find the term independent of x in the expansion, we use the binomial theorem. The term is determined by balancing the powers of x from both parts of the binomial, leading to the conclusion that the coefficient of that term, when multiplied by 18, equals 7.

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