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Least common denominator:
tan((3*pi/2)-a)*sin(pi-a)*cos((3*pi/2)+a)+cos(2*a)*sin(pi-2*a)
sqrt((x+4)/(1-x))+x*sqrt((x+4)/(1-x))*(1-x)*(1/(2*(1-x))+(x+4)/(2*(1-x)^2))/(x+4)
sqrt(x^3/(x-6))*(x-6)*(-x^3/(2*(x-6)^2)+3*x^2/(2*(x-6)))/x^3
sqrt(x^3*cos(x))*(-x^3*sin(x)/2+3*x^2*cos(x)/2)/(x^3*cos(x))
Factor polynomial:
x^6+x^8-x^3+4*x
x^6-x^5
x^6-x^2+4*x
x+6-x^2
Factor squared:
-y^2+8*y*x-8*x^2
y^2-9*y+8
-y^2-8*y*b+9*b^2
y^2-8*y*x-4*x^2
How do you in partial fractions?:
sqrt(x^2+4)*(1/(sqrt(x^2+4))-x^2/(x^2+4)^(3/2))/x
(sqrt(pi)*erf(sqrt(2)*x+5/sqrt(2)))/(2*sqrt(pi))
sqrt(b^2*((1-(b^2-a^2)/(b^2+a^2))^2+(2*a-b*sqrt(1-((b-a)*(b+a)/(b^2+a^2))^2)^2)))
sqrt(10)/(100*(1+x^2/10))
How do you in partial fractions?:
sqrt(x)/(1+sqrt(x))*(sqrt(x)/(1-sqrt(x))-1/(sqrt(x)-x))
Identical expressions
sqrt(x)/(one +sqrt(x))*(sqrt(x)/(one -sqrt(x))- one /(sqrt(x)-x))
square root of (x) divide by (1 plus square root of (x)) multiply by ( square root of (x) divide by (1 minus square root of (x)) minus 1 divide by ( square root of (x) minus x))
square root of (x) divide by (one plus square root of (x)) multiply by ( square root of (x) divide by (one minus square root of (x)) minus one divide by ( square root of (x) minus x))
√(x)/(1+√(x))*(√(x)/(1-√(x))-1/(√(x)-x))
sqrt(x)/(1+sqrt(x))(sqrt(x)/(1-sqrt(x))-1/(sqrt(x)-x))
sqrtx/1+sqrtxsqrtx/1-sqrtx-1/sqrtx-x
sqrt(x) divide by (1+sqrt(x))*(sqrt(x) divide by (1-sqrt(x))-1 divide by (sqrt(x)-x))
Similar expressions
sqrt(x)/(1+sqrt(x))*(sqrt(x)/(1+sqrt(x))-1/(sqrt(x)-x))
sqrt(x)/(1+sqrt(x))*(sqrt(x)/(1-sqrt(x))-1/(sqrt(x)+x))
sqrt(x)/(1+sqrt(x))*(sqrt(x)/(1-sqrt(x))+1/(sqrt(x)-x))
sqrt(x)/(1-sqrt(x))*(sqrt(x)/(1-sqrt(x))-1/(sqrt(x)-x))

Expression simplification/ Least common denominator/ sqrt(x)/(1+sqrt(x))*(sqrt(x)/(1-sqrt(x))-1/(sqrt(x)-x))

Least common denominator sqrt(x)/(1+sqrt(x))*(sqrt(x)/(1-sqrt(x))-1/(sqrt(x)-x))

The solution

You have entered [src]

    ___   /    ___              \
  \/ x    |  \/ x          1    |
---------*|--------- - ---------|
      ___ |      ___     ___    |
1 + \/ x  \1 - \/ x    \/ x  - x/

$$\frac{\sqrt{x}}{\sqrt{x} + 1} \left(\frac{\sqrt{x}}{1 - \sqrt{x}} - \frac{1}{\sqrt{x} - x}\right)$$

(sqrt(x)/(1 + sqrt(x)))*(sqrt(x)/(1 - sqrt(x)) - 1/(sqrt(x) - x))

General simplification [src]

-1

$$-1$$

-1

Fraction decomposition [src]

-1

$$-1$$

-1

Common denominator [src]

-1

$$-1$$

-1

Numerical answer [src]

x^0.5*(-1/(x^0.5 - x) + x^0.5/(1.0 - x^0.5))/(1.0 + x^0.5)

x^0.5*(-1/(x^0.5 - x) + x^0.5/(1.0 - x^0.5))/(1.0 + x^0.5)

Assemble expression [src]

      /                  ___  \
  ___ |      1         \/ x   |
\/ x *|- --------- + ---------|
      |    ___             ___|
      \  \/ x  - x   1 - \/ x /
-------------------------------
                 ___           
           1 + \/ x

$$\frac{\sqrt{x} \left(\frac{\sqrt{x}}{1 - \sqrt{x}} - \frac{1}{\sqrt{x} - x}\right)}{\sqrt{x} + 1}$$

sqrt(x)*(-1/(sqrt(x) - x) + sqrt(x)/(1 - sqrt(x)))/(1 + sqrt(x))

Combinatorics [src]

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

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

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

Rational denominator [src]

     4      2      3
x - x  - 3*x  + 3*x 
--------------------
         2 / 2    \ 
 (-1 + x) *\x  - x/

$$\frac{- x^{4} + 3 x^{3} - 3 x^{2} + x}{\left(x - 1\right)^{2} \left(x^{2} - x\right)}$$

(x - x^4 - 3*x^2 + 3*x^3)/((-1 + x)^2*(x^2 - x))

Powers [src]

      /                  ___  \
  ___ |      1         \/ x   |
\/ x *|- --------- + ---------|
      |    ___             ___|
      \  \/ x  - x   1 - \/ x /
-------------------------------
                 ___           
           1 + \/ x

$$\frac{\sqrt{x} \left(\frac{\sqrt{x}}{1 - \sqrt{x}} - \frac{1}{\sqrt{x} - x}\right)}{\sqrt{x} + 1}$$

sqrt(x)*(-1/(sqrt(x) - x) + sqrt(x)/(1 - sqrt(x)))/(1 + sqrt(x))

Combining rational expressions [src]

  ___ /       ___     ___ /  ___    \\
\/ x *\-1 + \/ x  + \/ x *\\/ x  - x//
--------------------------------------
 /      ___\ /      ___\ /  ___    \  
 \1 + \/ x /*\1 - \/ x /*\\/ x  - x/

$$\frac{\sqrt{x} \left(\sqrt{x} \left(\sqrt{x} - x\right) + \sqrt{x} - 1\right)}{\left(1 - \sqrt{x}\right) \left(\sqrt{x} + 1\right) \left(\sqrt{x} - x\right)}$$

sqrt(x)*(-1 + sqrt(x) + sqrt(x)*(sqrt(x) - x))/((1 + sqrt(x))*(1 - sqrt(x))*(sqrt(x) - x))

Trigonometric part [src]

      /                  ___  \
  ___ |      1         \/ x   |
\/ x *|- --------- + ---------|
      |    ___             ___|
      \  \/ x  - x   1 - \/ x /
-------------------------------
                 ___           
           1 + \/ x

$$\frac{\sqrt{x} \left(\frac{\sqrt{x}}{1 - \sqrt{x}} - \frac{1}{\sqrt{x} - x}\right)}{\sqrt{x} + 1}$$

sqrt(x)*(-1/(sqrt(x) - x) + sqrt(x)/(1 - sqrt(x)))/(1 + sqrt(x))

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Identical expressions

Similar expressions

Least common denominator sqrt(x)/(1+sqrt(x))*(sqrt(x)/(1-sqrt(x))-1/(sqrt(x)-x))

The solution