`(1+x+x^2++x^3)^5` no. of term in expansion

Find the number of terms in the expansion of (1+(x^(2))/(4)-x)^(5) .

i) Which is the (r+1)^ (th) term in the expansion of (a+b)^n ii) Which is the (r+1)^ (th) term in the expansion of .(3/2 x^2-1/(3 x))^6 ? iii) Find the term independent of x in the expansion of (3/2 x^2-1/(3 x))^6

If the 5th term is 24 times the 3rd term in the expansion of (1+x)^11 then x=

Consider the expansion of (3x^2-1/(2x^3))^10 Find the term independent of x in the expansion.

Prove that : Write the first 3 terms in the expansion of (1+(x)/(2))^(-5)

Total number of terms in the expansion of (1-x-x^(2))^(5) is -

Consider the expansion of (3x^2-1/(2x^3))^10 Find the (r+1)^(th) term in the expansion

The number of terms in the expansion of (1+5x+10x^(2)+10x^(3)+5x^(4)+x^(5))^(20) is