If $\left| {\,\begin{array}{*{20}{c}}{{x^2} + x}&{x + 1}&{x - 2}\\{2{x^2} + 3x - 1}&{3x}&{3x - 3}\\{{x^2} + 2x + 3}&{2x - 1}&{2x - 1}\end{array}\,} \right| = Ax - 12$, then the value of $A $ is

  • [IIT 1982]
  • [JEE MAIN 2015]
  • A

    $12$

  • B

    $24$

  • C

    $-12$

  • D

    $-24$

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