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++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 (1+x+x^(2))^(20) = a_(0) + a_(1)x^(2) "……" + a_(40)x^(40) , then following questions. The value of a_(0) + 3a_(1) + 5a_(2) + "……" + 81a_(40) is

If (1+x+x^(2))^(20) = a_(0) + a_(1)x^(2) "……" + a_(40)x^(40) , then following questions. The value of a_(0) + a_(1) + a_(2) + "……" + a_(19) 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))^(20) = a_(0) + a_(1)x^(2) "……" + a_(40)x^(40) , then following questions. The value of a_(0)^(2) - a_(1)^(2) + a_(2)^(2)- "……" - a_(19)^(2) is

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

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+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 - 3x^(2))^(10) = a_(0) + a_(1)x + a_(2)x^(2) + ....... + a_(20)x^(20) , then a_(2) + a_(4) + a_(6) + ……. + a_(20) =