[ASK] Make x and y the Subjects

Apr 2018
182
38
Sukoharjo
\(\displaystyle x^3-3xy^2=a\)
\(\displaystyle 3x^2y-y^3=b\)
make a formula using a and b for x and y.

What I've done:
\(\displaystyle x^3-3xy^2+3x^2y-y^3=a+b\)
\(\displaystyle x^3+3x^2y-3xy^2-y^3=a+b\)
\(\displaystyle (x-y)(x^2+4xy+y^2)=a+b\)
I don't know what to do from here. Any hints?
 

romsek

MHF Helper
Nov 2013
6,758
3,041
California
The answer is looking like a real mess.