Which term in the expansion of `(1+x)^(p).(1+(1)/(x))^(q)` is independent of x where p , q are positive integers ? What is the value of that term ?

Determine the x-independent term in the expansion of (1+4x)^p(1+1/(4x))^q where p & q are positive integers.

Term independent of x in (1+4x)^p (1+(1)/(4x) )^q is :

Term independent of x in (1+4x)^p (1+(1)/(4x) )^q is :

Find the term independent of x in the expansion of (1+x)^(p)(1+(1)/(x))^(q),p,q being positive integers.

Write down the fourth term in the binomial expansion of (px + (1)/(x) )^(n) . If this term is independent of x , find the value of n. With this value of n , calculate the value of p given that the fourth term is equal to (5)/(2) .

If x^(2)-2x-1 is a factor of px^(3)+qx^(2)+1 , (where p , q are integers) then find the value of p +q.

The value of the term independent of x in the expansion of (x^(2)-(1)/(x))^(9) is :