[tex]\displaystyle\bf\\\frac{36m^{2} -1}{36m^{2} -12m+1}=\frac{(6m)^{2} -1^{2} }{(6m)^{2} -2\cdot 6m\cdot 1+1^{2} } =\\\\\\=\frac{(6m-1)\cdot(6m+1)}{(6m-1)^{2} } =\frac{6m+1}{6m-1}[/tex]
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[tex]\displaystyle\bf\\\frac{36m^{2} -1}{36m^{2} -12m+1}=\frac{(6m)^{2} -1^{2} }{(6m)^{2} -2\cdot 6m\cdot 1+1^{2} } =\\\\\\=\frac{(6m-1)\cdot(6m+1)}{(6m-1)^{2} } =\frac{6m+1}{6m-1}[/tex]