If $A$ and $B$ are square matrices of size $n\times n$ such that $A^2-B^2=(A-B)(A+B)$ then which of the following will be always true?

Question

$\begin{array}{1 1}(a)\;A=B\\(b)\;AB=BA\\(c)\;Either\;of\;A\;or\;B\;is\;zero\;matrix\\(d)\;Either\;of\;A\;or\;B\;is\;identity\;matrix\end{array}$