Question:
Write the number of terms in the expansion of $(2+\sqrt{3} x)^{10}+(2-\sqrt{3} x)^{10}$.
Solution:
Number of terms in the expansion $(x+y)^{n}+(x-y)^{n}$ where $n$ is even $=\left(\frac{n}{2}+1\right)$
Thus, we have:
Number of terms in the given expansion $=\left(\frac{10}{2}+1\right)=6$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.