[tex]\frac{r + 5}{r^{2}+5r - 14 }[/tex] ÷ [tex]\frac{r^{2}+4r - 21 }{r - 2}[/tex]
[tex]= \frac{r + 5}{r^{2}+5r - 14 } * \frac{r - 2}{r^{2}+4r - 21 }[/tex]
[tex]=\frac{r + 5}{(r+7)(r - 2)} * \frac{r - 2}{(r + 7)(r - 3)}[/tex]
[tex]=\frac{r + 5}{(r+7)} * \frac{1}{(r + 7)(r - 3)}[/tex]
[tex]=\frac{r + 5}{(r+7)(r + 7)(r - 3)}[/tex]
Answer: B
