Factorize:

$8 x^{3} y^{3} + 27 a^{3}$

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Solution

$8 x^{3} y^{3} + 27 a^{3}$

$= (2 x y)^{3} + (3 a)^{3} = (2 x y + 3 a) [(2 x y)^{2} - 2 x y \times 3 a + (3 a)^{2}] = (2 x y + 3 a) (4 x^{2} y^{2} - 6 x y a + 9 a^{2})$

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Similar questions

16 x^{6} - 8 x^{3} y^{3} + y^{6}

Factorize:

$1 - 27 a^{3}$

27 a^{3} + \frac{1}{64 b^{3}} + \frac{27 a^{2}}{4 b} + \frac{9 a}{16 b^{2}}

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