Question

The total number of terms in the expansion of $(x+y{)}^{100}+(x-y{)}^{100}$ alter simplification is

• A. 50
• B. 51
• C. 202
• D. 100

Answer 1

Answer: (B)

Let $f(x)=(x+y{)}^{100}+(x-y{)}^{100}$
Here, $n=100$, which is even.
$\therefore$ Total number of terms
$=\frac{n+2}{2}=\frac{100+2}{2}$
$=51$