If $A$ and $B$ are square matrices of order $n$ such that $A^{2}-B^{2}=(A-B)(A+B)$,then which of the following will be true?

  • A
    Either $A$ or $B$ is zero matrix
  • B
    $A=B$
  • C
    $A B=B A$
  • D
    Either $A$ or $B$ is identity matrix

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