Question 70246
<pre>
6x^3 - 15x^2
-----------
12x^2 - 60x        </pre>

First factor out 3x^2 from the top and 12x from the bottom
<pre>
3x^2(2x - 5)
-----------
12x(x - 5)        </pre>
Now you can divide 3x^2 by 12x to get x/4 (edit: Sorry I mixed up my numbers)
<pre>
x(2x - 5)
-----------
4(x - 5)        </pre>
Now you are finally at the simplified form