If A and B are square matrices of size 'n' such that A² - B² = (A - B)(A + B), then which of the following will always be true?

AB = BA

The correct answer is Option (1) → AB = BA

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

$(A - B)(A + B) = A^2 + AB - BA - B^2$

$A^2 - B^2 = A^2 + AB - BA - B^2$

$AB - BA = 0$

$AB = BA$

The condition that always holds is $AB = BA$.