Factorize $8 x^{3} + y^{3} + 12 x^{2} y + 6 x y^{2}$

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Solution

$8 x^{3} + y^{3} + 12 x^{2} y + 6 x y^{2} = (2 x)^{3} + (y)^{3} + 3 \times (2 x)^{2} \times y + 3 \times 2 x \times y^{2} = (2 x + y)^{3} = (2 x + y) (2 x + y) (2 x + y)$

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Similar questions

If $x = 3$ and $y = 5$ , find the value of $8 x^{3} - 12 x^{2} y + 6 x y^{2} - 8 y^{3}$ .

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