[tex]\displaystyle \frac{x^2+6x+5}{x^2+5x}=\frac{x^2+5x+x+5}{x(x+5)}=\frac{x(x+5)+x+5}{x(x+5)}=\frac{(x+5)(x+1)}{x(x+5)}=\frac{x+1}{x}[/tex]
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[tex]\displaystyle \frac{x^2+6x+5}{x^2+5x}=\frac{x^2+5x+x+5}{x(x+5)}=\frac{x(x+5)+x+5}{x(x+5)}=\frac{(x+5)(x+1)}{x(x+5)}=\frac{x+1}{x}[/tex]