
Simplifying help.
Can someone show me how to simplify this.
$\displaystyle 6x\ln(1xy)\frac{3x^2y}{1xy}+\frac{3x^22x^3y^2}{(1xy)^2}$
I have had a few goes but I can't remember how to make them the same denominator. and keep coming up with a mash of rubbish , your help is appreciated.

For a start, note that in the term on the RHS you've got a factor of $\displaystyle 1xy$ in the top and the bottom, so you can cancel that out of top and bottom to make it yay simpler. That means the 2nd and 3rd terms *do* have a common denominator. That should help for a start.

so
$\displaystyle \frac{3x^22x^2y}{1xy}$??

Actually, now I look at it I may be wrong! I don't think that there is such a common factor after all.
So, take your initial equation and multiply top and bottom of the middle term by 1xy to put it over a common denominator. Then it's a matter of sorting out the stuff on top and seeing whether there's a factor.