If `(1+x)^5=a_0+a_1x+a2x2+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 cosx=a_0+a_1 x+a_2x^2+... then the value of a_2 is

If (1+x)^n=a_0+a_1x+a_2x^2).....+a_nx^n then value of the series a_(0)-a_(2) + a_(4)-a_(6) +….. is

If (1+x)^10 = a0 + a1 x + a2 x^2 + a3 x^3 + a4 x^4 + a5 x^5 + a6 x^6 +.... a10 x^10), then the value of ( a0 - a2 + a4 - a6 + a8 -a10)^2 + (a1 - a3 + a5 -a7 + a9)^2 is :

If (1+x+2x^2)^20 = a_0+a_1x+a_2x^2+. . . +a_40x^40 then a_1+a_3+a_5+ . . . +a_37=

If (1+x)^n = a_0+a_1x+a_2x^2+......+a_nx^n , find the sum a_0+a_4 + a_8 + a_12 + ….. .