[" If "1+x^(4)+x^(5)=sum_(i=0)^(5)a_(i)(1+x)^(i)," for all "x" in "R," then "a_(2)],[" is : "]

If 1+x^(4)-x^(5)=sum_(i=0)^(5)a_(i)(1+x)^(i) for all x""inR , then a_(2) is equal to ________

If 1+x^(4)+x^(5)=sum_(i=0)^(5)a_(i)(1+x)^(i) for all x""inR , then a_(4) is equal to ________

If f(x)=sum_(k=0)^(n)a_(k)|x-1|^(k), where a_(i)in R, then

For x in R, x ne -1 , if (1 + x)^(2016) = sum_(i = 0)^(2016) a_(i)x^(i) , then a_(17) is equal to :

Let (x+5)^(30)+(x-5)^(30) = a_(0)+a_(1)x+a_(2)x^(2)+...+a_(30)x^(30) for all x in R then (a_(2))/(a_(0))=

For x in R, x ne -1 , if (1+x)^(2016)+x(1+x)^(2015)+x^(2)(1+x)^(2014)+……+x^(2016) = sum_(i=0)^(2016)a_(i)*x^(i) , then a_(17) is equal to

sum_(i=0i0)^(2n)a_(r)(x-1)^(r)=sum_(r=0)^(2n)b_(r)(x-2)^(r) and b_(r)=(-1)^(r-n) for all r<=n, then a_(n)=

If (1+x+x^(2))^(8)=a_(0)+a_(1)x+a_(2)x^(2)+…a_(16)x^(16) for all values of x, then (a_(5))/(100) is equal to

FOr xi nr,x!=-1, If (1+x)^(2016)+x(1+x)^(215)+x^(2)(1+x)^(2014)++x^(2016)=sum_(i=0)^(2016)a_(i)x^(i), then a_(17) is equal to -