[tex]\displaystyle\bf\\\frac{x^{2}-16 }{x^{2} +2x-24}=\frac{(x-4)\cdot(x+4)}{(x-4)\cdot(x+6)} =\frac{x+4}{x+6}[/tex]
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[tex]\displaystyle\bf\\\frac{x^{2}-16 }{x^{2} +2x-24}=\frac{(x-4)\cdot(x+4)}{(x-4)\cdot(x+6)} =\frac{x+4}{x+6}[/tex]