Simplificación general
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/ 2 2\ / 2 2\
y*\x + y / + x*(x - y)*\y - x /
---------------------------------
/ 2 2\
(x - y)*\x + y /
$$\frac{x \left(x - y\right) \left(- x^{2} + y^{2}\right) + y \left(x^{2} + y^{2}\right)}{\left(x - y\right) \left(x^{2} + y^{2}\right)}$$
(y*(x^2 + y^2) + x*(x - y)*(y^2 - x^2))/((x - y)*(x^2 + y^2))
y/(x - y) - (x^3 - x*y^2)/(x^2 + y^2)
y/(x - y) - (x^3 - x*y^2)/(x^2 + y^2)
/ 4 3 3 2 3 2 2\
-\x - y + x*y - y*x - y*x - x *y /
----------------------------------------
/ 2 2\
(x - y)*\x + y /
$$- \frac{x^{4} - x^{3} y - x^{2} y^{2} - x^{2} y + x y^{3} - y^{3}}{\left(x - y\right) \left(x^{2} + y^{2}\right)}$$
-(x^4 - y^3 + x*y^3 - y*x^2 - y*x^3 - x^2*y^2)/((x - y)*(x^2 + y^2))
3 2
y - x + x*y
----- + -----------
x - y 2 2
x + y
$$\frac{y}{x - y} + \frac{- x^{3} + x y^{2}}{x^{2} + y^{2}}$$
y/(x - y) + (-x^3 + x*y^2)/(x^2 + y^2)
3 2 3 2 2
y + y*x - 2*x*y + 2*x *y
-x + ----------------------------
3 3 2 2
x - y + x*y - y*x
$$- x + \frac{2 x^{2} y^{2} + x^{2} y - 2 x y^{3} + y^{3}}{x^{3} - x^{2} y + x y^{2} - y^{3}}$$
-x + (y^3 + y*x^2 - 2*x*y^3 + 2*x^2*y^2)/(x^3 - y^3 + x*y^2 - y*x^2)
Denominador racional
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/ 2 2\ / 3 2\
y*\x + y / + (x - y)*\- x + x*y /
-----------------------------------
/ 2 2\
(x - y)*\x + y /
$$\frac{y \left(x^{2} + y^{2}\right) + \left(x - y\right) \left(- x^{3} + x y^{2}\right)}{\left(x - y\right) \left(x^{2} + y^{2}\right)}$$
(y*(x^2 + y^2) + (x - y)*(-x^3 + x*y^2))/((x - y)*(x^2 + y^2))
Unión de expresiones racionales
[src]
/ 2 2\ / 2 2\
y*\x + y / - x*(x - y)*\x - y /
---------------------------------
/ 2 2\
(x - y)*\x + y /
$$\frac{- x \left(x - y\right) \left(x^{2} - y^{2}\right) + y \left(x^{2} + y^{2}\right)}{\left(x - y\right) \left(x^{2} + y^{2}\right)}$$
(y*(x^2 + y^2) - x*(x - y)*(x^2 - y^2))/((x - y)*(x^2 + y^2))