Відповідь:
[tex]\frac{x}{2x-8}[/tex]
Пояснення:
[tex]\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{x+5}{x^2-8x+16} *\frac{x-5}{2}\\\\\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{x+5}{(x-4)^2} *\frac{x-5}{2}\\\\\\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{1}{(x-4)^2} *\frac{x-5}{2}\\\\\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{x+5}{(x-4)^2} *\frac{1}{2}\\\\x*\frac{1}{x-4} *\frac{1}{2} \\\\\frac{x}{2(x-4)} \\\\\frac{x}{2x-8}[/tex]
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Verified answer
Відповідь:
[tex]\frac{x}{2x-8}[/tex]
Пояснення:
[tex]\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{x+5}{x^2-8x+16} *\frac{x-5}{2}\\\\\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{x+5}{(x-4)^2} *\frac{x-5}{2}\\\\\\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{1}{(x-4)^2} *\frac{x-5}{2}\\\\\frac{x*(x-4)}{(x-5)*(x+5)} *\frac{x+5}{(x-4)^2} *\frac{1}{2}\\\\x*\frac{1}{x-4} *\frac{1}{2} \\\\\frac{x}{2(x-4)} \\\\\frac{x}{2x-8}[/tex]