Simplificación general
[src]
2
1 + x + 6*y - 6*x*y
--------------------
3/2
/ 2 2\
\1 + x + y /
$$\frac{x^{2} - 6 x y + 6 y + 1}{\left(x^{2} + y^{2} + 1\right)^{\frac{3}{2}}}$$
(1 + x^2 + 6*y - 6*x*y)/(1 + x^2 + y^2)^(3/2)
(1.0 + x^2 + y^2)^(-0.5) - y*(1.0 + x^2 + y^2)^(-1.5)*(-6.0 + y + 6.0*x)
(1.0 + x^2 + y^2)^(-0.5) - y*(1.0 + x^2 + y^2)^(-1.5)*(-6.0 + y + 6.0*x)
Compilar la expresión
[src]
1 y*(-6 + y + 6*x)
---------------- - ----------------
_____________ 3/2
/ 2 2 / 2 2\
\/ 1 + x + y \1 + x + y /
$$- \frac{y \left(6 x + y - 6\right)}{\left(x^{2} + y^{2} + 1\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{x^{2} + y^{2} + 1}}$$
1/sqrt(1 + x^2 + y^2) - y*(-6 + y + 6*x)/(1 + x^2 + y^2)^(3/2)
2
1 + x + 6*y - 6*x*y
------------------------------------------------------------
_____________ _____________ _____________
/ 2 2 2 / 2 2 2 / 2 2
\/ 1 + x + y + x *\/ 1 + x + y + y *\/ 1 + x + y
$$\frac{x^{2} - 6 x y + 6 y + 1}{x^{2} \sqrt{x^{2} + y^{2} + 1} + y^{2} \sqrt{x^{2} + y^{2} + 1} + \sqrt{x^{2} + y^{2} + 1}}$$
(1 + x^2 + 6*y - 6*x*y)/(sqrt(1 + x^2 + y^2) + x^2*sqrt(1 + x^2 + y^2) + y^2*sqrt(1 + x^2 + y^2))
Denominador racional
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3/2 _____________
/ 2 2\ / 2 2
\1 + x + y / - y*\/ 1 + x + y *(-6 + y + 6*x)
----------------------------------------------------
2
/ 2 2\
\1 + x + y /
$$\frac{- y \left(6 x + y - 6\right) \sqrt{x^{2} + y^{2} + 1} + \left(x^{2} + y^{2} + 1\right)^{\frac{3}{2}}}{\left(x^{2} + y^{2} + 1\right)^{2}}$$
((1 + x^2 + y^2)^(3/2) - y*sqrt(1 + x^2 + y^2)*(-6 + y + 6*x))/(1 + x^2 + y^2)^2
Unión de expresiones racionales
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2 2
1 + x + y - y*(-6 + y + 6*x)
------------------------------
3/2
/ 2 2\
\1 + x + y /
$$\frac{x^{2} + y^{2} - y \left(6 x + y - 6\right) + 1}{\left(x^{2} + y^{2} + 1\right)^{\frac{3}{2}}}$$
(1 + x^2 + y^2 - y*(-6 + y + 6*x))/(1 + x^2 + y^2)^(3/2)
Parte trigonométrica
[src]
1 y*(-6 + y + 6*x)
---------------- - ----------------
_____________ 3/2
/ 2 2 / 2 2\
\/ 1 + x + y \1 + x + y /
$$- \frac{y \left(6 x + y - 6\right)}{\left(x^{2} + y^{2} + 1\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{x^{2} + y^{2} + 1}}$$
1/sqrt(1 + x^2 + y^2) - y*(-6 + y + 6*x)/(1 + x^2 + y^2)^(3/2)
2
1 + x + 6*y - 6*x*y
--------------------
3/2
/ 2 2\
\1 + x + y /
$$\frac{x^{2} - 6 x y + 6 y + 1}{\left(x^{2} + y^{2} + 1\right)^{\frac{3}{2}}}$$
(1 + x^2 + 6*y - 6*x*y)/(1 + x^2 + y^2)^(3/2)
1 y*(-6 + y + 6*x)
---------------- - ----------------
_____________ 3/2
/ 2 2 / 2 2\
\/ 1 + x + y \1 + x + y /
$$- \frac{y \left(6 x + y - 6\right)}{\left(x^{2} + y^{2} + 1\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{x^{2} + y^{2} + 1}}$$
1/sqrt(1 + x^2 + y^2) - y*(-6 + y + 6*x)/(1 + x^2 + y^2)^(3/2)