If `(1+x)^5=a_0+a_1x+a_2x^2+a_3x^3+a_4x^4+a_5x^5,` then the value of `(a_0-a_2+a_4)^2+(a_1-a_3+a_5)^2` is equal to `243` b. `32` c. `1` d. `2^(10)`

If (1+x-2x^2)^(20)=a_0+a_1x+a_2x^2+a_3x^3+...+a_(40)x^(40), then find the value of a_1+a_3+a_5+...+a_(39)dot

If (1 +x+x^2)^25 = a_0 + a_1x+ a_2x^2 +..... + a_50.x^50 then a_0 + a_2 + a_4 + ... + a_50 is :

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

If (1+x+x^2++x^p)^n=a_0+a_1x+a_2x^2++a_(n p)x^(n p), then find the value of a_1+2a_2+3a_3+ddot+n pa_(n p)dot

If (3+x^(2008)+x^(2009))^(2010)=a_0+a_1x+a_2x^2++a_n x^n , then the value of a_0-1/2a_1-1/2a_2+a_3-1/2a_4-1/2a_5+a_6- is 3^(2010) b. 1 c. 2^(2010) d. none of these

If (1+x-2x^2)^6=1+a_1 x+a_2 x^2+a_2 x^3+......... , then the value of a_2+a_4+a_6+......+a_12 will be

Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a_1x+a_2x^2+ and that a1 2=2a_2 then the value of n is.

The value of int_0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dxi s

If cos4x=a_0+a_1cos^2x+a^2cos^4x is true for all values of x in R , then the value of 5a_0+a_1+a_2 is_______