# Write the Total Number of Terms in the Expansion of ( X + a ) 100 + ( X − a ) 100 . - Mathematics

Write the total number of terms in the expansion of  $\left( x + a \right)^{100} + \left( x - a \right)^{100}$ .

#### Solution

The total number of terms are 101 of which 50 terms get cancelled.

Hence, the total number of terms in the expansion of

$\left( x + a \right)^{100} + \left( x - a \right)^{100}$  is 51.

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 18 Binomial Theorem
Q 17 | Page 46