Simplificación general
[src]
_______
/ 2 - x / 2 \
/ ----- *\-4 + x + 2*x/
\/ 2 + x
---------------------------
2
-4 + x
$$\frac{\sqrt{\frac{2 - x}{x + 2}} \left(x^{2} + 2 x - 4\right)}{x^{2} - 4}$$
sqrt((2 - x)/(2 + x))*(-4 + x^2 + 2*x)/(-4 + x^2)
((2.0 - x)/(2.0 + x))^0.5 + x*((2.0 - x)/(2.0 + x))^0.5*(2.0 + x)*(-1/(4.0 + 2.0*x) - 0.125*(2.0 - x)/(1 + 0.5*x)^2)/(2.0 - x)
((2.0 - x)/(2.0 + x))^0.5 + x*((2.0 - x)/(2.0 + x))^0.5*(2.0 + x)*(-1/(4.0 + 2.0*x) - 0.125*(2.0 - x)/(1 + 0.5*x)^2)/(2.0 - x)
Parte trigonométrica
[src]
_______
/ 2 - x / 1 2 - x \
x* / ----- *(2 + x)*|- ------- - ----------|
_______ \/ 2 + x | 4 + 2*x 2|
/ 2 - x \ 2*(2 + x) /
/ ----- + ----------------------------------------------
\/ 2 + x 2 - x
$$\frac{x \sqrt{\frac{2 - x}{x + 2}} \left(x + 2\right) \left(- \frac{2 - x}{2 \left(x + 2\right)^{2}} - \frac{1}{2 x + 4}\right)}{2 - x} + \sqrt{\frac{2 - x}{x + 2}}$$
sqrt((2 - x)/(2 + x)) + x*sqrt((2 - x)/(2 + x))*(2 + x)*(-1/(4 + 2*x) - (2 - x)/(2*(2 + x)^2))/(2 - x)
Abrimos la expresión
[src]
_______
/ 2 - x / 1 2 - x \
x* / ----- *(2 + x)*|- --------- - ----------|
_______ \/ 2 + x | 2*(2 + x) 2|
/ 2 - x \ 2*(2 + x) /
/ ----- + ------------------------------------------------
\/ 2 + x 2 - x
$$\frac{x \sqrt{\frac{2 - x}{x + 2}} \left(x + 2\right) \left(- \frac{2 - x}{2 \left(x + 2\right)^{2}} - \frac{1}{2 \left(x + 2\right)}\right)}{2 - x} + \sqrt{\frac{2 - x}{x + 2}}$$
_______
/ 1 / 1 2 - x \
x* / ----- *(2 + x)*|- --------- - ----------|
_______ \/ 2 + x | 2*(2 + x) 2|
/ 1 _______ \ 2*(2 + x) /
/ ----- *\/ 2 - x + ------------------------------------------------
\/ 2 + x _______
\/ 2 - x
$$\frac{x \left(x + 2\right) \left(- \frac{2 - x}{2 \left(x + 2\right)^{2}} - \frac{1}{2 \left(x + 2\right)}\right) \sqrt{\frac{1}{x + 2}}}{\sqrt{2 - x}} + \sqrt{2 - x} \sqrt{\frac{1}{x + 2}}$$
sqrt(1/(2 + x))*sqrt(2 - x) + x*sqrt(1/(2 + x))*(2 + x)*(-1/(2*(2 + x)) - (2 - x)/(2*(2 + x)^2))/sqrt(2 - x)
_______________
/ 2 x
_______________ 2*x* / ----- - -----
/ 2 x \/ 2 + x 2 + x
/ ----- - ----- + -----------------------
\/ 2 + x 2 + x 2
-4 + x
$$\frac{2 x \sqrt{- \frac{x}{x + 2} + \frac{2}{x + 2}}}{x^{2} - 4} + \sqrt{- \frac{x}{x + 2} + \frac{2}{x + 2}}$$
sqrt(2/(2 + x) - x/(2 + x)) + 2*x*sqrt(2/(2 + x) - x/(2 + x))/(-4 + x^2)
____________
/ -(-2 + x) / 2 \
/ ---------- *\-4 + x + 2*x/
\/ 2 + x
--------------------------------
(-2 + x)*(2 + x)
$$\frac{\sqrt{- \frac{x - 2}{x + 2}} \left(x^{2} + 2 x - 4\right)}{\left(x - 2\right) \left(x + 2\right)}$$
sqrt(-(-2 + x)/(2 + x))*(-4 + x^2 + 2*x)/((-2 + x)*(2 + x))
Unión de expresiones racionales
[src]
_______
/ 2 - x
/ ----- *(-2*x + (2 + x)*(2 - x))
\/ 2 + x
------------------------------------
(2 + x)*(2 - x)
$$\frac{\sqrt{\frac{2 - x}{x + 2}} \left(- 2 x + \left(2 - x\right) \left(x + 2\right)\right)}{\left(2 - x\right) \left(x + 2\right)}$$
sqrt((2 - x)/(2 + x))*(-2*x + (2 + x)*(2 - x))/((2 + x)*(2 - x))
_______
/ 2 - x / 1 2 - x \
x* / ----- *(2 + x)*|- ------- - ----------|
_______ \/ 2 + x | 4 + 2*x 2|
/ 2 - x \ 2*(2 + x) /
/ ----- + ----------------------------------------------
\/ 2 + x 2 - x
$$\frac{x \sqrt{\frac{2 - x}{x + 2}} \left(x + 2\right) \left(- \frac{2 - x}{2 \left(x + 2\right)^{2}} - \frac{1}{2 x + 4}\right)}{2 - x} + \sqrt{\frac{2 - x}{x + 2}}$$
/ x \
_______ | -1 + - |
/ 2 - x | 1 2 |
x* / ----- *(2 + x)*|- ------- + --------|
_______ \/ 2 + x | 4 + 2*x 2|
/ 2 - x \ (2 + x) /
/ ----- + --------------------------------------------
\/ 2 + x 2 - x
$$\frac{x \sqrt{\frac{2 - x}{x + 2}} \left(x + 2\right) \left(\frac{\frac{x}{2} - 1}{\left(x + 2\right)^{2}} - \frac{1}{2 x + 4}\right)}{2 - x} + \sqrt{\frac{2 - x}{x + 2}}$$
sqrt((2 - x)/(2 + x)) + x*sqrt((2 - x)/(2 + x))*(2 + x)*(-1/(4 + 2*x) + (-1 + x/2)/(2 + x)^2)/(2 - x)
Denominador racional
[src]
_______ _______
/ 2 - x / 2 \ / 2 - x 2
x* / ----- *(2 + x)*\- 2*(2 + x) + (-2 + x)*(4 + 2*x)/ + 2* / ----- *(2 + x) *(2 - x)*(4 + 2*x)
\/ 2 + x \/ 2 + x
----------------------------------------------------------------------------------------------------
2
2*(2 + x) *(2 - x)*(4 + 2*x)
$$\frac{x \sqrt{\frac{2 - x}{x + 2}} \left(x + 2\right) \left(\left(x - 2\right) \left(2 x + 4\right) - 2 \left(x + 2\right)^{2}\right) + 2 \sqrt{\frac{2 - x}{x + 2}} \left(2 - x\right) \left(x + 2\right)^{2} \left(2 x + 4\right)}{2 \left(2 - x\right) \left(x + 2\right)^{2} \left(2 x + 4\right)}$$
(x*sqrt((2 - x)/(2 + x))*(2 + x)*(-2*(2 + x)^2 + (-2 + x)*(4 + 2*x)) + 2*sqrt((2 - x)/(2 + x))*(2 + x)^2*(2 - x)*(4 + 2*x))/(2*(2 + x)^2*(2 - x)*(4 + 2*x))
Compilar la expresión
[src]
_______
/ 2 - x / 1 2 - x \
x* / ----- *(2 + x)*|- ------- - ----------|
_______ \/ 2 + x | 4 + 2*x 2|
/ 2 - x \ 2*(2 + x) /
/ ----- + ----------------------------------------------
\/ 2 + x 2 - x
$$\frac{x \sqrt{\frac{2 - x}{x + 2}} \left(x + 2\right) \left(- \frac{2 - x}{2 \left(x + 2\right)^{2}} - \frac{1}{2 x + 4}\right)}{2 - x} + \sqrt{\frac{2 - x}{x + 2}}$$
sqrt((2 - x)/(2 + x)) + x*sqrt((2 - x)/(2 + x))*(2 + x)*(-1/(4 + 2*x) - (2 - x)/(2*(2 + x)^2))/(2 - x)