Simplify :
$7 x^{3} + 8 y^{3} - (4 x + 3 y) (16 x^{2} - 12 x y + 9 y^{2})$

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Solution

$7 x^{3} + 8 y^{3} - (4 x + 3 y) (16 x^{2} - 12 x y + 9 y^{2})$
$= 7 x^{3} + 8 y^{3} - (4 x + 3 y) [(4 x)^{2} - 4 x \times 3 y + (3 y)^{2}]$
$= 7 x^{3} + 8 y^{3} - (64 x^{3} + 27 y^{3})$
$= - 57 x^{3} - 19 y^{3}$

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