Use property to evaluate : 9^3- 5^3- 4^3 - Vidyadip

Question

Use property to evaluate : $9^3- 5^3- 4^3$

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Answer

Property is if $a + b + c = 0$ then $a^3+ b^3+ c^3= 3abc$
$a = 9, b = -5, c = -4$
$9^3- 5^3- 4^3$
$= 9^3+ (-5)^3+ (-4)^3$
$= 3(9)(-5)(-4)$
$= 540$

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