FACTOR xy+x-y^2-y (which type is this?)

[rae09]

This is the big problem i came across. I don't know how to approach it.
Do i perhaps get rid of the u? PLease Please please help me~!!!!!! :wink:
3uv+u-3v^2-v

 

[arthur ohlsten]

xy+x-y^2-y rewrite
x[y+1] - [y^2+y] factor out y
x[y+1] -y[y+1] factor out [y+1]
[y+1] [x-y] answer

Arthur

 

[arthur ohlsten]

3uv+u-3v^2-v rewrite
[3uv+u] - [3v^2+v] factor u from first and v from second term
u[3v+1] -v [3v+1] factor out [3v+1]
[3v+1][u-v] answer