﻿ The number of terms which are free from fractional powers in the expansion of (a1/5 + b2/3)45, a ≠ b is : Kaysons Education

The Number Of Terms Which Are Free From Fractional Powers In The Expansion Of (a1/5 + b2/3)45, a ≠ b is

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Question

Solution

Correct option is

4

The general term in the expansion of (a1/5 + b2/3)45 is

This will be from fractional powers if both r/5 and 2r/3 are whole numberi.e. if r = 0, 15, 30, 45. Hence, there are only four terms which are fee from fractional powers.

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