If $a + b = 5, a b = 2,$ then $a^{3} +b^{3}=$

095

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95.0

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Solution

$(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
$\Rightarrow a^{3} + b^{3} = (a + b)^{3} - 3 a b (a + b)$

$= 5^{3} - 3 \times 2 \times 5$

$= 125 - 30$

$= 95$

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