Find the product
(ii) $(2 x - 3 y) (2 x + 3 y) ({4 x}^{2} + {9 y}^{2})$

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Solution

$(2 x - 3 y) (2 x + 3 y) (4 x^{2} + 9 y^{2})$
$= (4 x^{2} - 9 y^{2}) (4 x^{2} + 9 y^{2})$ $; (∵ a^{2} - b^{2} = (a - b) (a + b)$
$= 16 x^{4} - 81 y^{4}$

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