Question

middle term of expansion of (x+1/x)^20

Answer 1

Answer:

184756(x10)

Step-by-step explanation:

According to binomial theorem

(a+x)n=∑m=0n(nm)an−mxm

Replacing a with 1 and n with 20

(1+x)20=∑m=020(20m)xm

For middle term m = 10

∴middle term=(2010)x10

=20!10!×(20−10)!(x10)=20!(10!)2(x10)