If A and B are square matrices of the same order, then (A + B) (A - B) is equal to:

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Solution

Q.
If A and B are square matrices of the same order, then (A + B) (A - B) is equal to:

1 $A^{2} - B^{2}$

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

3 $A^{2} - B^{2} + B A - A B$

4 $A^{2} - B A + B^{2} + A B$

Ans.
(3)

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

Explanation:

$(A + B) (A - B)$ $= A (A - B) + B (A - B)$

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

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