# Factoring a single Binomial with two variables

• Mar 16th 2010, 02:31 PM
Astaric
Factoring a single Binomial with two variables
So, I'm having a problem with some really basic factoring, embarasing really.
my problem is this, I can't seen to factor a binomial with two variables, such as this

20xy^(3) +25x^(6)y^(9)

like i said, pretty basic but im having trouble with it.(confused)
• Mar 16th 2010, 02:36 PM
icemanfan
You need to find the greatest common factor of $20xy^3$ and $25x^6y^9$. Break it down by calculating the least power of x between the two, the least power of y between the two, and the greatest common factor of 20 and 25.

Least power of x: 1
Least power of y: 3
GCF of 20 and 25: 5

Therefore, you can factor out $5xy^3$, yielding $5xy^3(4 + 5x^5y^6)$.
• Mar 16th 2010, 02:38 PM
Astaric
Thanks, that helps a bunch, >now im might pass My test tommorow o.e