Question

Which is the simplified rational expression for r2-4r+5/r-4

Answer 1

Step-by-step explanation:

$\frac{ {r}^{2} - 4r + 5}{r - 4} - \frac{ {r}^{2} + 2r - 8}{r - 4} \\ = \frac{ ({r}^{2} - 4r + 5) - ( {r}^{2} + 2r - 8) }{r + 4} \\ = \frac{ {r}^{2} - {r}^{2} - 4r - 2r + 5 - 8 }{r - 4} \\ = \frac{ - 6r - 3}{r - 4}$