Math Help - HELP with factoring and simplifying

1. HELP with factoring and simplifying

I cant solve this problem. help please thanks

oh. the last term has the denominator of xcube - 2xsquared y + 2x ysquared - ycube.

2. First thing I would do is to get the thing in the brackets on the RHS over a common denominator and simplifying it out to see what I get. Then I try factorising stuff and cancelling out where possible. How far have you got?

3. Hello reiward
Originally Posted by reiward
I cant solve this problem. help please thanks

oh. the last term has the denominator of xcube - 2xsquared y + 2x ysquared - ycube.

You'll find the following expressions useful:

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

This will enable you to find the LCD of the two fractions in the last bracket; and

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

This will allow you to cancel a common factor once you've turned the 'divided by' fraction
'upside-down'.