For :
\(A=\dfrac{1}{\left(x+y\right)^3}\left(\dfrac{1}{x^4}-\dfrac{1}{y^4}\right)\)
\(B=\dfrac{2}{\left(x+y\right)^4}\left(\dfrac{1}{x^3}-\dfrac{1}{y^3}\right)\)
\(C=\dfrac{2}{\left(x+y\right)^5}\left(\dfrac{1}{x^2}-\dfrac{1}{y^2}\right)\)
Required feature : A + B + C