Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The sum of all rational terms in the expansion of
is:
Text Solution
Verified by ExpertsThe correct answer is:
B
To find the sum of all rational terms in the expansion of
, we consider the binomial expansion:

We need to identify and sum only the rational terms. In the binomial expansion, a term is rational if the exponent of
is even.
Thus, the rational terms are:

Evaluating these terms:

Summing these rational terms gives:

Therefore, the sum of all rational terms in the expansion is 18,817.
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