If A and B are square matrices of the same order then

Question:

If $A$ and $B$ are square matrices of the same order then $(A+B)(A-B)=?$

A. $\left(A^{2}-B^{2}\right)$

B. $A^{2}+A B-B A-B^{2}$

C. $A^{2}-A B+B A-B^{2}$

D. none of these

Solution:

Since $\mathrm{A}$ and $\mathrm{B}$ are square matrices of same order.

$(A+B)(A-B)=A^{2}-A B+B A-B$

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