Rewrite \(9{a}^{2}-{b}^{2}\) in the form \({a}^{2}-{b}^{2}\), where \(a=3a\) and \(b=b\).
\[\frac{{(3a)}^{2}-{b}^{2}}{6{a}^{2}b-2a{b}^{2}}\]
Use Difference of Squares: \({a}^{2}-{b}^{2}=(a+b)(a-b)\).
\[\frac{(3a+b)(3a-b)}{6{a}^{2}b-2a{b}^{2}}\]
Factor out the common term \(2ab\).
\[\frac{(3a+b)(3a-b)}{2ab(3a-b)}\]
Cancel \(3a-b\).
\[\frac{3a+b}{2ab}\]
(3*a+b)/(2*a*b)
