If $3$ distinct real number $a$,$b$,$c$ satisfy $a^2(a + p) = b^2 (b + p) = c^2 (c + p)$ where $p \in R$, then value of $bc + ca + ab$ is

  • A

    $-p$

  • B

    $p$

  • C

    $0$

  • D

    $\frac{{{p^2}}}{2}$

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