Question
Verify the following: $(-13) \times [(-6) + (-19)] = (-13) \times (-6) + (-13) \times (-19)$

Answer

$L.H.S. (-13) \times [(-6) + (-19)] $
$= (-13) \times [-6 - 19] $
$= (-13) \times (-25) $
$= 325 R.H.S. (-13) \times (-6) + (-13) \times (-19) $
$= 78 + 247 $
$= 325 L.H.S. $
$= R.H.S.$ (Proved)

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