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.

If x satisfies x^(2)-2x cos theta +1=0 , then the value of x^(n)+((1)/(x^n)) is

Let (1 + x)^(n) = 1 + a_(1)x + a_(2)x^(2) + ... + a_(n)x^(n) . If a_(1),a_(2) and a_(3) are in A.P., then the value of n 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

Solve : (2x^2 - 3x+1) (2x^2 + 5x + 1) = 9x^2 .

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of

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-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