(A + B ) × (A - B ) = ______

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$ (\overrightarrow A + \overrightarrow B )\, \times (\overrightarrow A - \overrightarrow B ) $ = ______

$0$

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

$ \overrightarrow B \times \overrightarrow A $

$ 2(\overrightarrow B \times \overrightarrow A ) $

$ (\overrightarrow A + \overrightarrow B )\, \times (\overrightarrow A - \overrightarrow B ) $ = ______

$(\vec A + \vec B) \times (\vec A - \vec B)$

$ = \vec A \times \vec A - \vec A \times \vec B + \vec B \times \vec A - \vec B \times \vec B$

$ = 0 - \vec A \times \vec B + \vec B \times \vec A - 0$

$ = \vec B \times \vec A + \vec B \times \vec A = 2(\vec B \times \vec A)$

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