Question
If $a + b = 8$ and $ab = 15,$ find $: a^3 + b^3.$

Answer

$a^3 + b^3$
$ = (a + b)^3 − 3ab (a + b)= (8)^3 − 3(15) (8)$
$= 512 − 360$
$= 152$

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