Multipling / Dividing w/ Trinomials Methods

Are there any quick methods for Multiplying / Dividing Trinomials or methods that are easy to remember and execute

eg)


4x
---- + 2
3y

----------

6
----
3xy

i get (3xy+2)/3

help???

You should write both as fractions:

Code:

---

4x        4x + 6y
---- + 2 = -------
3y            3y

4x + 6y    6
------- / ---
  3y    3xy

division is multiplication by the inverse:

  4x + 6y  3xy
= ------- * ---
    3y      6

  12x^2y + 18xy^2
= -------------
        18y

now you need to simplify by dividing the numerator and denominator by their GCD, 6y:

  2x^2 + 3xy
= -------------
        3

---

I can't get to (3xy+2)/3.

ya, i screwed up