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

  • A
    $-p$
  • B
    $p$
  • C
    $0$
  • D
    $\frac{p^2}{2}$

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