Simplificación general
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5/2 5/2 2 ___ ___ 2
x + y + x *\/ y - \/ x *y
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4 4
x - y
$$\frac{x^{\frac{5}{2}} - \sqrt{x} y^{2} + x^{2} \sqrt{y} + y^{\frac{5}{2}}}{x^{4} - y^{4}}$$
(x^(5/2) + y^(5/2) + x^2*sqrt(y) - sqrt(x)*y^2)/(x^4 - y^4)
5/2 5/2 2 ___ ___ 2
x + y + x *\/ y - \/ x *y
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4 4
x - y
$$\frac{x^{\frac{5}{2}} - \sqrt{x} y^{2} + x^{2} \sqrt{y} + y^{\frac{5}{2}}}{x^{4} - y^{4}}$$
(x^(5/2) + y^(5/2) + x^2*sqrt(y) - sqrt(x)*y^2)/(x^4 - y^4)
x^0.5/(x^2 + y^2) + y^0.5/(x^2 - y^2)
x^0.5/(x^2 + y^2) + y^0.5/(x^2 - y^2)
Denominador racional
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___ / 2 2\ ___ / 2 2\
\/ x *\x - y / + \/ y *\x + y /
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/ 2 2\ / 2 2\
\x + y /*\x - y /
$$\frac{\sqrt{x} \left(x^{2} - y^{2}\right) + \sqrt{y} \left(x^{2} + y^{2}\right)}{\left(x^{2} - y^{2}\right) \left(x^{2} + y^{2}\right)}$$
(sqrt(x)*(x^2 - y^2) + sqrt(y)*(x^2 + y^2))/((x^2 + y^2)*(x^2 - y^2))
5/2 5/2 2 ___ ___ 2
x + y + x *\/ y - \/ x *y
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/ 2 2\
(x + y)*(x - y)*\x + y /
$$\frac{x^{\frac{5}{2}} - \sqrt{x} y^{2} + x^{2} \sqrt{y} + y^{\frac{5}{2}}}{\left(x - y\right) \left(x + y\right) \left(x^{2} + y^{2}\right)}$$
(x^(5/2) + y^(5/2) + x^2*sqrt(y) - sqrt(x)*y^2)/((x + y)*(x - y)*(x^2 + y^2))
Unión de expresiones racionales
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___ / 2 2\ ___ / 2 2\
\/ x *\x - y / + \/ y *\x + y /
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/ 2 2\ / 2 2\
\x + y /*\x - y /
$$\frac{\sqrt{x} \left(x^{2} - y^{2}\right) + \sqrt{y} \left(x^{2} + y^{2}\right)}{\left(x^{2} - y^{2}\right) \left(x^{2} + y^{2}\right)}$$
(sqrt(x)*(x^2 - y^2) + sqrt(y)*(x^2 + y^2))/((x^2 + y^2)*(x^2 - y^2))