9x^2y^2 16 amp; = ( 3xy)^2 ( 4 )^2 amp;= ( 3xy + 4)( 3xy 4) ∵[a^2 b^2=(a+b)(a b)] Hence, factors of given expression are 3xy+4 an ...

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Factorisation Using Algebraic Identities

Factorise: 9...

Question

Factorise:
$9 x^{2} y^{2} - 16$

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Solution

$\begin{matrix} 9 x^{2} y^{2} - 16 & = {(3 x y)}^{2} - {(4)}^{2} = (3 x y + 4) (3 x y - 4) ∵ [a^{2} - b^{2} = (a + b) (a - b)] \end{matrix}$

Hence, factors of given expression are $3 x y + 4$ and $3 x y - 4.$

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