Simplificación general
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-(x - y)*(2*y + x*(x - y))
---------------------------
x*(x + y)
$$- \frac{\left(x - y\right) \left(x \left(x - y\right) + 2 y\right)}{x \left(x + y\right)}$$
-(x - y)*(2*y + x*(x - y))/(x*(x + y))
(y - x)*(x - y + 2.0*y/x)/(x + y)
(y - x)*(x - y + 2.0*y/x)/(x + y)
Parte trigonométrica
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/ 2*y\
(y - x)*|x - y + ---|
\ x /
---------------------
x + y
$$\frac{\left(- x + y\right) \left(x - y + \frac{2 y}{x}\right)}{x + y}$$
(y - x)*(x - y + 2*y/x)/(x + y)
Compilar la expresión
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/ / 2\\
|x + y*|-1 + -||*(y - x)
\ \ x//
------------------------
x + y
$$\frac{\left(- x + y\right) \left(x + y \left(-1 + \frac{2}{x}\right)\right)}{x + y}$$
/ 2*y\
(y - x)*|x - y + ---|
\ x /
---------------------
x + y
$$\frac{\left(- x + y\right) \left(x - y + \frac{2 y}{x}\right)}{x + y}$$
(y - x)*(x - y + 2*y/x)/(x + y)
Unión de expresiones racionales
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/ 2 \
(y - x)*\x + 2*y - x*y/
------------------------
x*(x + y)
$$\frac{\left(- x + y\right) \left(x^{2} - x y + 2 y\right)}{x \left(x + y\right)}$$
(y - x)*(x^2 + 2*y - x*y)/(x*(x + y))
/ 2 \
-(x - y)*\x + 2*y - x*y/
--------------------------
x*(x + y)
$$- \frac{\left(x - y\right) \left(x^{2} - x y + 2 y\right)}{x \left(x + y\right)}$$
-(x - y)*(x^2 + 2*y - x*y)/(x*(x + y))
Denominador racional
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/ 2 \
(y - x)*\x + 2*y - x*y/
------------------------
x*(x + y)
$$\frac{\left(- x + y\right) \left(x^{2} - x y + 2 y\right)}{x \left(x + y\right)}$$
(y - x)*(x^2 + 2*y - x*y)/(x*(x + y))
/ 2*y\
(y - x)*|x - y + ---|
\ x /
---------------------
x + y
$$\frac{\left(- x + y\right) \left(x - y + \frac{2 y}{x}\right)}{x + y}$$
(y - x)*(x - y + 2*y/x)/(x + y)
2 2
- 2*y + 2*x*y + 4*x*y
-x + 3*y - -----------------------
2
x + x*y
$$- x + 3 y - \frac{4 x y^{2} + 2 x y - 2 y^{2}}{x^{2} + x y}$$
-x + 3*y - (-2*y^2 + 2*x*y + 4*x*y^2)/(x^2 + x*y)