Factorise: ( $81 x^{2} - 64 y^{2}$ ).

(9 x + 8 y) (9 x - 8 y)

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(x + 8 y) (9 x - 8 y)

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(9 x + 8 y) (9 x + 8 y)

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(x - 8 y) (9 x - 8 y)

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Solution

The correct option is A $(9 x + 8 y) (9 x - 8 y)$
$81 x^{2} - 64 y^{2}$
$= (9 x)^{2} - (8 y)^{2}$
$= (9 x + 8 y) (9 x - 8 y)$ (Using $a^{2} - b^{2} = (a + b) (a - b)$ )

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