Question 230117
Given {{{x^3y+2x^2y^2+xy^3}}}
You can see there are three terms separated by 2 plus signs.
Looking at those three terms, you can see that each of them includes some power of x and some power of y.
First thing you want to do is factor out and common terms in each of those two variables.
The first term has x^3, then second has x^2 and the last one has just x.
So you can factor out an x
{{{x *(x^2y+2xy^2+y^3)}}}
Now do the same thing for y
{{{xy *(x^2 + 2xy + y^2)}}}
Now you need to see if the polynomial on the right can be factored further.
It can. 
{{{xy * (x+y)(x+y)}}}
{{{xy(x+y)^2}}}

There are some good URLs you cna use to check your factoring 
http://72.3.253.76:8080/webMathematica3/quickmath/page.jsp?s1=algebra&s2=factor&s3=basic

http://www.wolframalpha.com/input/?i=x^3+y%2B2x^2+y^2%2Bxy^3

Hope this helps!