Answer :

Xhade
[tex]81x^2-16y^2\\\\= (9x)^{2} - (4x)^{2}\\\\Using\ the\ formula\ a^{2} - b^{2} = (a-b )(a+b) \\\\=\boxed{(9x - 4) ( 9x + 4)\ Answer}[/tex]
AL2006
When factored, the exression is (9x + 4y) (9x - 4y)

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