Hi,lee3381 wrote:(x^6 * y^6 - x^6 * y^2) / (x^2 + y^2) = ?
The answer is (xy)^2 * (y^2 - x^2).
but I am just not sure how to get this answer.
anyone can explain this answer?
firstly I'll have to change the equation that you have written, because the answer cannot be what you are saying..
(x^6 * y^6 - x^6 * y^2) / (x^2 + y^2) ... should be
(x^2 * y^6 - x^6 * y^2) / (x^2 + y^2) ..
now lets work on it..
(x^2 * y^6 - x^6 * y^2) / (x^2 + y^2) ..
x^2*y^2*(y^4-x^4)/(x^2 + y^2)...
now y^4-x^4 can be written as (x^2 + y^2)(y^2-x^2)...
x^2*y^2*(x^2 + y^2)(y^2-x^2)/(x^2 + y^2)= (xy)^2 * (y^2 - x^2)..
hope it helps
