This is a problem from Test of Mathematics, TOMATO Problem 106. It is useful for ISI and CMI Entrance Exam. Try out the problem.

**Problem: TOMATO Objective 106 **

The term that is independent of x in the expansion of

a)

b)

c)

d)

Solution:

$latex [\frac{3x^2}{2}-\frac{1}{3}]^9

=(\frac{3x^2}{2})^9+\binom{9}{1}(\frac{3x^2}{2})^8(-\frac{1}{3x})+…\binom{9}{6}(\frac{3x^2}{2})^3(-\frac{1}{3x})^6+…-(\frac{1}{3x})^9 $

Therefore the term independent of x is

=

=

= (c)

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Sequence Problem | ISI Entrance B.Math 2008 Obj 1 – Video

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