Factorise: $81 x^{2} y^{2} - 16$

(9 x y - 4) (9 x y + 4)

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(3 x y - 4) (3 x y + 4)

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(9 x - 4) (9 x + 4)

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(9 x - 4) (9 y + 4)

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Solution

The correct option is B $(9 x y - 4) (9 x y + 4)$
$81 x^{2} y^{2} - 16$
$= {(9 x y)}^{2} - {(4)}^{2}$
$= (9 x y - 4) (9 x y + 4)$
using the identity $(a^{2} - b^{2}) = (a + b) (a - b)$

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