Verify the following: (-23) (-5) + (+19) = (-23) × (-5) + (-23) ×…

Question

Verify the following: $(-23)\{(-5) + (+19)\} = (-23) × (-5) + (-23) × (+19)$

✓

Answer

$L.H.S = (-23)[(-5) + (+19)]$
$= (-23)[-5 + 19] = (-23)[14]$
$= -322$
$R.H.S = (-23) \times (-5) + (-23) \times (+19)$
$= 115 - 437 = -322$
Therefore, $L.H.S = R.H.S$

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