Question:medium

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

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Algebraic identities like $(a+b)(a-b) = a^2 - b^2$ only apply to matrices if $AB = BA$.

Updated On: Apr 8, 2026

$A^{2} - B^{2}$
$A^{2} - BA + AB - B^{2}$
$A^{2} - AB + BA - B^{2}$
$A^{2} + B^{2}$

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The Correct Option is B

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

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The Correct Option is B

Solution and Explanation

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