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Least common denominator:
x^2*log(x)/2-x^2/4
sin(k*x+x/2)/2*sin(x/2)+cos(k*x+x)
(sin(2*x)/2+x)/2
(z*(z^2+6*z+1)-(4*z*(z+1)))/(z-1)^3+z*(z-1)/(z+1)^3
Factor polynomial:
x^4-5*x^3+6*x^2-10*x+8
x^3-x^5
x^4-x
x^2-y^2
Factor squared:
-y^4-y^2-5
y^4-y^2+9
-y^4-y^2-3
y^4+y^2+6
How do you in partial fractions?:
(m^2-1)/(m+1)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
-1/(2*x^2)
(a+4)*a/2+(4*a+16)/(4*a^2+a^3)
Identical expressions
exp(x)/(one -x^ two)+ two *x*exp(x)/(one -x^ two)^ two
exponent of (x) divide by (1 minus x squared ) plus 2 multiply by x multiply by exponent of (x) divide by (1 minus x squared ) squared
exponent of (x) divide by (one minus x to the power of two) plus two multiply by x multiply by exponent of (x) divide by (one minus x to the power of two) to the power of two
exp(x)/(1-x2)+2*x*exp(x)/(1-x2)2
expx/1-x2+2*x*expx/1-x22
exp(x)/(1-x²)+2*x*exp(x)/(1-x²)²
exp(x)/(1-x to the power of 2)+2*x*exp(x)/(1-x to the power of 2) to the power of 2
exp(x)/(1-x^2)+2xexp(x)/(1-x^2)^2
exp(x)/(1-x2)+2xexp(x)/(1-x2)2
expx/1-x2+2xexpx/1-x22
expx/1-x^2+2xexpx/1-x^2^2
exp(x) divide by (1-x^2)+2*x*exp(x) divide by (1-x^2)^2
Similar expressions
exp(x)/(1-x^2)+2*x*exp(x)/(1+x^2)^2
exp(x)/(1+x^2)+2*x*exp(x)/(1-x^2)^2
exp(x)/(1-x^2)-2*x*exp(x)/(1-x^2)^2

Expression simplification/ Least common denominator/ exp(x)/(1-x^2)+2*x*exp(x)/(1-x^2)^2

Least common denominator exp(x)/(1-x^2)+2xexp(x)/(1-x^2)^2

The solution

You have entered [src]

   x            x 
  e        2*x*e  
------ + ---------
     2           2
1 - x    /     2\ 
         \1 - x /

$$\frac{2 x e^{x}}{\left(1 - x^{2}\right)^{2}} + \frac{e^{x}}{1 - x^{2}}$$

exp(x)/(1 - x^2) + ((2*x)*exp(x))/(1 - x^2)^2

General simplification [src]

/     2      \  x
\1 - x  + 2*x/*e 
-----------------
             2   
    /      2\    
    \-1 + x /

$$\frac{\left(- x^{2} + 2 x + 1\right) e^{x}}{\left(x^{2} - 1\right)^{2}}$$

(1 - x^2 + 2*x)*exp(x)/(-1 + x^2)^2

Combinatorics [src]

 /      2      \  x 
-\-1 + x  - 2*x/*e  
--------------------
        2         2 
 (1 + x) *(-1 + x)

$$- \frac{\left(x^{2} - 2 x - 1\right) e^{x}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}$$

-(-1 + x^2 - 2*x)*exp(x)/((1 + x)^2*(-1 + x)^2)

Rational denominator [src]

        2                     
/     2\   x       /     2\  x
\1 - x / *e  + 2*x*\1 - x /*e 
------------------------------
                  3           
          /     2\            
          \1 - x /

$$\frac{2 x \left(1 - x^{2}\right) e^{x} + \left(1 - x^{2}\right)^{2} e^{x}}{\left(1 - x^{2}\right)^{3}}$$

((1 - x^2)^2*exp(x) + 2*x*(1 - x^2)*exp(x))/(1 - x^2)^3

Numerical answer [src]

exp(x)/(1.0 - x^2) + 2.0*x*exp(x)/(1.0 - x^2)^2

exp(x)/(1.0 - x^2) + 2.0*x*exp(x)/(1.0 - x^2)^2

Common denominator [src]

 /   x    2  x        x\ 
-\- e  + x *e  - 2*x*e / 
-------------------------
           4      2      
      1 + x  - 2*x

$$- \frac{x^{2} e^{x} - 2 x e^{x} - e^{x}}{x^{4} - 2 x^{2} + 1}$$

-(-exp(x) + x^2*exp(x) - 2*x*exp(x))/(1 + x^4 - 2*x^2)

Combining rational expressions [src]

/     2      \  x
\1 - x  + 2*x/*e 
-----------------
            2    
    /     2\     
    \1 - x /

$$\frac{\left(- x^{2} + 2 x + 1\right) e^{x}}{\left(1 - x^{2}\right)^{2}}$$

(1 - x^2 + 2*x)*exp(x)/(1 - x^2)^2

Trigonometric part [src]

  cosh(x) + sinh(x)   2*x*(cosh(x) + sinh(x))
- ----------------- + -----------------------
             2                        2      
       -1 + x                /      2\       
                             \-1 + x /

$$\frac{2 x \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right)}{\left(x^{2} - 1\right)^{2}} - \frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{x^{2} - 1}$$

cosh(x) + sinh(x)   2*x*(cosh(x) + sinh(x))
----------------- + -----------------------
           2                       2       
      1 - x                /     2\        
                           \1 - x /

$$\frac{2 x \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right)}{\left(1 - x^{2}\right)^{2}} + \frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{1 - x^{2}}$$

(cosh(x) + sinh(x))/(1 - x^2) + 2*x*(cosh(x) + sinh(x))/(1 - x^2)^2

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Least common denominator exp(x)/(1-x^2)+2*x*exp(x)/(1-x^2)^2

The solution

Least common denominator exp(x)/(1-x^2)+2xexp(x)/(1-x^2)^2