The total number of terms in the expansion of \((\text{x}+\text{a})^{100}+(\text{x}-\text{a})^{100}\) after…

The total number of terms in the expansion of \((\text{x}+\text{a})^{100}+(\text{x}-\text{a})^{100}\) after simplification is:

  1. 50

  2. None of these.

  3. 51

  4. 202

Solution

Solution:

Here, n i.e. 100 is even.

\(\therefore\) Total number of terms in the expansion \(=\frac{\text{n}}{2}+1=\frac{100}{2}+1=51\)

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