Normal algebra question: can I somehow factor out the X and Y in this expression?

aX+XY+bY
becomes either:

X(a+Y)+by
or
Y(b+X)+aX

see I can either get one or the other, is there a trick to getting both?

Question

Normal algebra question: can I somehow factor out the X and Y in this expression?

aX+XY+bY
 becomes either:

X(a+Y)+by 
or
Y(b+X)+aX

see I can either get one or the other, is there a trick to getting both?

thesmartone · Answer

Hello there @Kanui ,

You have posted your question in this Physics section. You would get more help if you posted it in the math subject.

But I shall help you as I am your friend :D

We can factor out both XY, just like this:

aX+XY+bY
$\sf\Large XY(\frac{a}{Y}+1+\frac{b}{X})$

We can simplify that more if we want to by making that all have a common denominator, but I think it is fine if we just leave it like that. :)

thesmartone · Answer

My bad... lol. @Kainui