Page 1 of 1

brøk

Posted: 10/02-2008 11:50
by Kunnskap
Hei jeg trenger litt hjelp med å forstå utregningen her:

Image

Posted: 10/02-2008 11:59
by Knuta
[tex]\frac{r+2}{r+3}-\frac{r+2}{2r+1}=\frac{(r+2)\cdot(2r+1)-(r+2)\cdot(r+3)}{(r+3)\cdot(2r+1)}=\frac{(2r^2+5r+2)-(r^2+5r+6)}{2r^2+7r+3}=\frac{r^2-4}{2r^2+7r+3}[/tex]

Posted: 10/02-2008 12:12
by Kunnskap
Knuta wrote:[tex]\frac{r+2}{r+3}-\frac{r+2}{2r+1}=\frac{(r+2)\cdot(2r+1)-(r+2)\cdot(r+3)}{(r+3)\cdot(2r+1)}=\frac{(2r^2+5r+2)-(r^2+5r+6)}{2r^2+7r+3}=\frac{r^2-4}{2r^2+7r+3}[/tex]
Tusen takk for hjelpen :)