# Write the Number of Terms in the Expansion of ( 2 + √ 3 X ) 10 + ( 2 − √ 3 X ) 10 . - Mathematics

Write the number of terms in the expansion of $\left( 2 + \sqrt{3}x \right)^{10} + \left( 2 - \sqrt{3}x \right)^{10}$ .

#### Solution

$\text{ Number of terms in the expansion} (x + y )^n + (x - y )^n \text{ where n is even } = \left( \frac{n}{2} + 1 \right)$
$\text{ Thus, we have: }$
$\text{ Number of terms in the given expansion } = \left( \frac{10}{2} + 1 \right) = 6$

Concept: Rth Term from End
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 18 Binomial Theorem
Q 1 | Page 45