Please help. How would I multiply this?

[Muppers3262]

[(x^2 + xy -2y^2) / (x^3 + x^2y)] * [(x) / (x^2 + 3xy +2y^2)]

Could you please explain how this would be simplified. I am very confused. :? Thank you!

 

[Daniel_Feldman]

Factoring:


x^2 + xy -2y^2=(x-y )(x+2y)


x^2 + 3xy +2y^2=(x+2y)(x+y)


x^3 + x^2y >>>>I'm assuming that this is x^3+(x^2)y and not x^3+x^(2y). If I'm wrong, this becomes a bit tough, but let me know.


Using my assumption


x^3 + x^2y=x^2(x+y)


So we rewrite the original expression as


[(x-y )(x+2y)]/[x^2(x+y)] * x/[(x+2y)(x+y)]


Now, the x+2y can cancel each other out, and the x in the numerator can cancel, so we get

(x-y)/[x(x+y)] * 1/(x+y)

=(x-y)/x(x+y)^2

 

[Muppers3262]

Thanks Daniel, you were right, sorry I wasn't more clear. Thanks again.