Use property to evaluate : 13^3+ (-8)^3+ (-5)^3 - Vidyadip

Question

Use property to evaluate : $13^3+ (-8)^3+ (-5)^3$

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Answer

Property is if $a + b + c = 0$ then $a^3+ b^3+ c^3= 3abc$
$a = 13, b = -8$ and $c = -5$
$13^3+ (-8)^3+ (-5)^3$
$= 3(13)(-8)(-5)$
$= 1560$

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