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Question
Write the number of terms in the expansion of \[\left( 2 + \sqrt{3}x \right)^{10} + \left( 2 - \sqrt{3}x \right)^{10}\] .
Solution
\[\text{ Number of terms in the expansion} (x + y )^n + (x - y )^n \text{ where n is even } = \left( \frac{n}{2} + 1 \right)\]
\[\text{ Thus, we have: } \]
\[\text{ Number of terms in the given expansion } = \left( \frac{10}{2} + 1 \right) = 6\]
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