Given,for three distinct real numbers a,b,c $\in R,a(a^2+p)=b(b^2+p)=c(c^2+p)$.The value of $a+b+c$ is

Question

$\begin{array}{1 1}(A)\;0&(B)\;1\\(C)\;3&(D)\;\text{None}\end{array}$