$(2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})$ can also be written as :

(8 x^{3} + 27 y^{3})

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(8 x^{3} - 27 y^{3})

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(x^{3} - y^{3})

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(27 x^{3} - 8 y^{3})

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Solution

The correct option is B $(8 x^{3} - 27 y^{3})$
Using the identity
$a^{3} - b^{3} = (a^{2} + a b + b^{2}) (a - b)$ ,
$(2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2}) can be written as$
$(2 x)^{3} - (3 y)^{3} = (8 x^{3} - 27 y^{3})$ .

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