" If "(3x-1)^(7)=a_(7)x^(7)+a_(6)x^(6)+a_(5)x^(5)+cdots+a_(1)x+a_(0)," then "a_(7)+a_(6)*a_(5)+cdots+a_(1)

If (3x-1)^(7)=a_(7)x^(7)+a_(6)x^(6)+a_(5)x^(5)+.......+a_(1)x+a_(0) , then find the value of a_(7)+a_(6)+a_(5)+...........+a_(0) .

If (2x^(2) - x - 1)^(5) = a_(0) + a_(1)x + a_(2)x^(2) + ....... + a_(10)x^(10) then, a_(2) + a_(4) + a_(6) + a_(8) + a_(10) =

If (2x-1)^(8)=a_(8)x^(8)+a_(7)x^(7)+a_(6)x^(6)+..........+a_(1)x+a_(0) , then find the value of a_(0)+a_(1)+a_(2)+.........+a_(7)+a_(8) .

If (1 + x)^(2n) = a_(0) + a_(1) x + a_(2) x^(2) +… + a_(2n) x^(2n) , then (a_(0) - a_(2) + a_(4) - a_(6) +…- a_(2n))^(2)+(a_(1) - a_(3) + a_(5) - a_(7) +...+a_(2n-1))^(2) is equal to

If (1+x)^(10)=a_(0)+a_(1)x+a_(2)x^(2)++a_(10)x^(10), then value of (a_(0)-a_(2)+a_(4)-a_(6)+a_(8)-a_(10))^(2)+(a_(1)-a_(3)+a_(5)-a_(7)+a_(7))^(2)

If (2x^(2)-x-1)^(5)=a_(0)+a_(1)x+a_(2)x^(2)+…+a_(10)x^(10) , then a_(2)+a_(4)+a_(6)+a_(8)+a_(10) is equal to : a)15 b)30 c)16 d)32

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

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) =

If a_(0), a_(1),a_(2),… are the coefficients in the expansion of (1 + x + x^(2))^(n) in ascending powers of x, prove that if E_(1) = a_(0) + a_(3) + a_(6) + …, E_(2) = a_(1) + a_(4) + a_(7) + … and E_(3) = a_(2) + a_(5) + a_(8) + ..." then " E_(1) = E_(2) = E_(3) = 3^(n-1)