Factorise:

$81 x^{4} - 16 y^{4}$

(x^{2} + y^{2}) (3 x + 2 y) (x - 2 y)

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(9 x^{2} + 4 y^{2}) (3 x + 2 y) (3 x - 2 y)

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(x^{2} + 4 y^{2}) (x + y) (3 x - y)

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(9 x^{2} + 4 y^{2}) (3 x - 2 y) (x - 2 y)

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Solution

The correct option is A $(9 x^{2} + 4 y^{2}) (3 x + 2 y) (3 x - 2 y)$
$81 x^{4} - 16 y^{4}$
$= (9 x^{2})^{2} - (4 y^{2})^{2}$
$= (9 x^{2} + 4 y^{2}) (9 x^{2} - 4 y^{2})$
$= (9 x^{2} + 4 y^{2}) (3 x + 2 y) (3 x - 2 y)$

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Similar questions

(x - 2 y) (x - 2 y) =

Factorise :

$4 x (3 x - 2 y) - 2 y (3 x - 2 y)$

9 x^{2} - 4 y^{2}

(x + 2 y) (x - 2 y)

\sqrt{\frac{{9 x}^{2}}{{36 y}^{4}}} \div \frac{2 y}{{9 x}^{2}}

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