[tex]\displaystyle\bf\\\frac{4}{x+5} \cdot\frac{x^{2} -25}{2} =\frac{4\cdot(x+5)\cdot(x-5)}{(x+5)\cdot 2} =2\cdot (x-5)=2x-10[/tex]
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[tex]\displaystyle\bf\\\frac{4}{x+5} \cdot\frac{x^{2} -25}{2} =\frac{4\cdot(x+5)\cdot(x-5)}{(x+5)\cdot 2} =2\cdot (x-5)=2x-10[/tex]