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(a-b)^2 Expansion and Visualisation

IF 2x+y=3 , x...

Question

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

A

16

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B

9

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C

4

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D

1

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Solution

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

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