If $2 x + y = 3$ , $x y = 1$ , then the value of $8 x^{3} + y^{3}$ is?

16

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9

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4

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1

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Solution

The correct option is B $9$
$2 x + y = 3$
or $(2 x + y)^{3} = 27$
or $8 x^{3} + y^{3} + 6 x y (2 x + y) = 27$
or $8 x^{3} + y^{3} + 6 \times 1 \times 3 = 27$
or $8 x^{3} + y^{3} = 9$

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8 x^{3} + y^{3}

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