If $x + y = 3$ and $x y = - 18$ , then find the value of $x^{3} + y^{3}$ .

- 135

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199

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189

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None of these

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Solution

The correct option is A $189$
We know that
$x^{3} + y^{3} = (x + y)^{3} - 3 x y (x + y)$
so, $x^{3} + y^{3} = (3)^{3} - 3 (- 18) (3)$
$= 27 + 162$
$x^{3} + y^{3} = 189$

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