" If "(1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+----+a_(20)x^(20)" ,then "

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

If (1+3x-2x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2).+…+a_(20)x^(20) then prove that a_(0)-a_(1)++a_(2)-a_(3)+……+a_(20)=4^(10)

If (2+x+x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(20)x^(20) then (a_(1)-a_(0))/(a_(20))=

If (1+3x-2x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2).+…+a_(20)x^(20) then prove that a_(0)+a_(1)+a_(2)+……+a_(20)=2^(10)

If (1+3x-2x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2).+…+a_(20)x^(20) then prove that a_(0)+a_(1)+a_(2)+……+a_(20)=2^(10)

If (1+x+x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+.........+a_(20)x^(20) then _((a_(9)-10C_(1)*a_(8)+10C_(2)*a_(7)-10C_(3)*a_(6)+......+10C_(9)*a_(0))) is equal to

(1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(20)x^(20), then a_(1) equals 10 b.20 c.210 d.none of these

If (1 + x+ 2x^(2))^(20) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(40) x^(40) . The value of a_(0) + a_(2) + a_(4) + …+ a_(38) is