General simplification
[src]
2 - 2*x
(-1/2 + x)*e
-------------------
2
(-1 + x)
$$\frac{\left(x - \frac{1}{2}\right) e^{2 - 2 x}}{\left(x - 1\right)^{2}}$$
(-1/2 + x)*exp(2 - 2*x)/(-1 + x)^2
0.5*exp(2 - 2*x)/(-1.0 + x)^2 + 2.0*exp(2 - 2*x)/(-2.0 + 2.0*x)
0.5*exp(2 - 2*x)/(-1.0 + x)^2 + 2.0*exp(2 - 2*x)/(-2.0 + 2.0*x)
2 - 2*x 2 - 2*x
e 2*e
----------- + ----------
2 -2 + 2*x
2*(-1 + x)
$$\frac{2 e^{2 - 2 x}}{2 x - 2} + \frac{e^{2 - 2 x}}{2 \left(x - 1\right)^{2}}$$
exp(2 - 2*x)/(2*(-1 + x)^2) + 2*exp(2 - 2*x)/(-2 + 2*x)
2 2
- e + 2*x*e
-----------------------------
2*x 2*x 2 2*x
2*e - 4*x*e + 2*x *e
$$\frac{2 x e^{2} - e^{2}}{2 x^{2} e^{2 x} - 4 x e^{2 x} + 2 e^{2 x}}$$
(-exp(2) + 2*x*exp(2))/(2*exp(2*x) - 4*x*exp(2*x) + 2*x^2*exp(2*x))
Assemble expression
[src]
2 - 2*x 2 - 2*x
e 2*e
----------- + ----------
2 -2 + 2*x
2*(-1 + x)
$$\frac{2 e^{2 - 2 x}}{2 x - 2} + \frac{e^{2 - 2 x}}{2 \left(x - 1\right)^{2}}$$
exp(2 - 2*x)/(2*(-1 + x)^2) + 2*exp(2 - 2*x)/(-2 + 2*x)
2 - 2*x 2 - 2*x
e e
-------- + ----------
x - 1 2
2*(x - 1)
$$\frac{e^{2 - 2 x}}{x - 1} + \frac{e^{2 - 2 x}}{2 \left(x - 1\right)^{2}}$$
exp(2 - 2*x)/(x - 1) + exp(2 - 2*x)/(2*(x - 1)^2)
Rational denominator
[src]
2 - 2*x 2 2 - 2*x
(-2 + 2*x)*e + 4*(-1 + x) *e
------------------------------------------
2
2*(-1 + x) *(-2 + 2*x)
$$\frac{4 \left(x - 1\right)^{2} e^{2 - 2 x} + \left(2 x - 2\right) e^{2 - 2 x}}{2 \left(x - 1\right)^{2} \left(2 x - 2\right)}$$
((-2 + 2*x)*exp(2 - 2*x) + 4*(-1 + x)^2*exp(2 - 2*x))/(2*(-1 + x)^2*(-2 + 2*x))
Combining rational expressions
[src]
2 - 2*x
(-1 + 2*x)*e
-------------------
2
2*(-1 + x)
$$\frac{\left(2 x - 1\right) e^{2 - 2 x}}{2 \left(x - 1\right)^{2}}$$
(-1 + 2*x)*exp(2 - 2*x)/(2*(-1 + x)^2)
2 -2*x
(-1 + 2*x)*e *e
-------------------
2
2*(-1 + x)
$$\frac{\left(2 x - 1\right) e^{2} e^{- 2 x}}{2 \left(x - 1\right)^{2}}$$
(-1 + 2*x)*exp(2)*exp(-2*x)/(2*(-1 + x)^2)
/cosh(-2 + 2*x) sinh(-2 + 2*x) \
-|-------------- - -------------- + x*sinh(-2 + 2*x) - x*cosh(-2 + 2*x)|
\ 2 2 /
-------------------------------------------------------------------------
2
(-1 + x)
$$- \frac{x \sinh{\left(2 x - 2 \right)} - x \cosh{\left(2 x - 2 \right)} - \frac{\sinh{\left(2 x - 2 \right)}}{2} + \frac{\cosh{\left(2 x - 2 \right)}}{2}}{\left(x - 1\right)^{2}}$$
2 - 2*x 2 - 2*x
e 2*e
----------- + ----------
2 -2 + 2*x
2*(-1 + x)
$$\frac{2 e^{2 - 2 x}}{2 x - 2} + \frac{e^{2 - 2 x}}{2 \left(x - 1\right)^{2}}$$
cosh(2 - 2*x) + sinh(2 - 2*x) 2*(cosh(2 - 2*x) + sinh(2 - 2*x))
----------------------------- + ---------------------------------
2 -2 + 2*x
2*(-1 + x)
$$\frac{2 \left(\sinh{\left(2 - 2 x \right)} + \cosh{\left(2 - 2 x \right)}\right)}{2 x - 2} + \frac{\sinh{\left(2 - 2 x \right)} + \cosh{\left(2 - 2 x \right)}}{2 \left(x - 1\right)^{2}}$$
(cosh(2 - 2*x) + sinh(2 - 2*x))/(2*(-1 + x)^2) + 2*(cosh(2 - 2*x) + sinh(2 - 2*x))/(-2 + 2*x)