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Question

The rational term(s) in the expansion of (2+(3)15)10 is/are

A
3
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B
9
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C
6
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D
32
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Solution

The correct option is D 32
Tr+1=10Cr(2)(10r2)(3)r5
This is rational, if r5 and (5r2) are integers,
Now, r must be a multiple of 10
(LCM of 2 and 5).
r=0,10
So the rational terms are
10C025 and 10C1032
or 32 and 9

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