Question

Divide : algebraic fractions

Answer 1

Answer:  C

Step-by-step explanation:

   $\frac{r+5}{r^{2}+5r-14}$ ÷ $\frac{r^{2}+4r-21}{r-2}$

= $\frac{r+5}{r^{2}+5r-14}$ * $\frac{r-2}{r^{2}+4r-21}$

= $\frac{r+5}{(r+7)(r-2)}$ * $\frac{r-2}{(r+7)(r-3)}$

= $\frac{(r+5)(r-2)}{(r+7)(r-2)(r+7)(r-3)}$

= $\frac{r+5}{(r+7)(r+7)(r-3)}$