यदि n एक धन पूर्णांक है और
`(1+x)^(n)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(n)x^(n)` हों, तो
`a_(0)+a_(1)+a_(2)+...+a_(n)` किसके बराबर है ?

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(2n)x^(2n), then a_(0)+a_(2)+a_(4)+....+a_(2n) is

(1+x)^(n)=a_(0)+a_(1)x+a_(2)*x^(2)+......+a_(n)x^(n) then prove that

( 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-x)^(-n)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+... find the value of,a_(0)+a_(1)+a_(2)+......+a_(n)

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

If (1-x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)++a_(2n)x^(2n) find the value of a_(0)+a_(2)+a_(4)++a_(2n)

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+….+a_(2n)x^(2n) , then prove that a_(0)+a_(1)+a_(2)…..+a_(2n)=3^(n)

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

(1+x)^(n)=a_(0)+a_(1)x+a_(2)x^(2) +......+a_(n)x^(n) then Find the sum of the series a_(0) +a_(2)+a_(4) +……