http://img14.imageshack.us/img14/5564/11102137.jpg
i had to save the picture and upload it because the equations wouldnt come out right in the text box. just zoom in the picture and itss fine.
thanks in advance!
http://img14.imageshack.us/img14/5564/11102137.jpg
i had to save the picture and upload it because the equations wouldnt come out right in the text box. just zoom in the picture and itss fine.
thanks in advance!
Hi Auger,
Here's the first one.
$\displaystyle \frac{1}{x^2-x-2}-\frac{x}{x^2-5x+6}$
$\displaystyle \frac{1}{(x-2)(x+1)}-\frac{x}{(x-3)(x-2)}$
$\displaystyle \frac{1(x-3)-x(x+1)}{(x+1)(x-2)(x-3)}$
$\displaystyle \frac{x-3-x^2-x}{(x+1)(x-2)(x-3)}$
$\displaystyle \frac{-(x^2+3)}{(x+1)(x-2)(x-3)}$
And the second one...Seems like there aught to be an easier way, but here goes. Maybe an algebraist will step in and clean it up.
$\displaystyle \frac{-x}{(x+1)^{\frac{3}{2}}}+\frac{2}{(x+1)^{\frac{1}{2 }}}$
$\displaystyle \frac{-x}{(\sqrt{x+1})^3}+\frac{2}{\sqrt{x+1}}$
$\displaystyle \frac{-x+2(\sqrt{x+1})^2}{(\sqrt{x+1})^3}$
$\displaystyle \frac{-x+2(x+1)}{(\sqrt{x+1})^3}$
$\displaystyle \frac{x+2}{(\sqrt{x+1})^3} \cdot \frac{\sqrt{x+1}}{\sqrt{x+1}}$
$\displaystyle \frac{(x+2)(\sqrt{x+1})}{(x+1)^2}$
$\displaystyle \frac{(x+2)(x+1)^{\frac{1}{2}}}{(x+1)^2}$
$\displaystyle \boxed{\frac{x+2}{(x+1)^{\frac{3}{2}}}}$