If `(3 + 7x - 9x^2)^n = a_0 +a_1x + a_2 x^2 + ……+a_(2n)x^(2n)` prove the `a_0 + a_2 +a_4 + …….= (1+ (-13)^n)/(2)`

If (3 + 7x - 9x^2)^n = a_0 +a_1x + a_2 x^2 + ……+a_(2n)x^(2n) prove the a_0 +a_1 +a_2 + ……+a_(2n) = 1

If (1 + x +x^2)^n = a_0 +a_1x + a_2x^2 + ….+a_(2n)x^(2n) then prove that a_0 +a_2 +a_4+……+a_(2n) = (3^n +1)/(2)

If (1 + 3x - 2x^2)^10 = a_0 + a_1x + a_2x^2 +…..+a_20 x^20 thn prove that a_1 +a_3 + a_5 + ……+a_19 = 2^9 - 2^19

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

If (1+2x +3x^2)^10 = a_0 +a_1x +a_2x^2 + ……+a_20x^20 then a_1 = ?

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-2x^2)^(6) = 1 + a_(1) x + a_(2) x^(2) + ... + a_(12) x^(12) , then find a_2+ a_4 + ... + a_12

If (1+x+x^2)^n=a_0+a_1x+a_2x^2+....+a_(2n)x^(2n) , then a_0+a_2+a_4+.....+a_(2n) 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)^n=a_0+a_1x+a_2x^2++a_(2n)x^(2n), find the value of a_0+a_3+a_6++ ,n in Ndot