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Least common denominator:
((x-x2+t)/2-x1+(abs((x-x2+t)/2-x1)))/2
(x/x^2-4+x/(x-2)^2)*(2-x)^2/2*x-x/x+2
(x-x^2/280)*(1-x/140)
x/x^2-25+5/5-x+1/x+5
Factor polynomial:
z^2+2*z+5
y*y/x-x^2+x*y/x-y^2
y*x-y^a+3*x-3*a
y^x*y^3-y-1+y^x*y
Factor squared:
y^4+4*y^2+3
-y^4-4*y^2-2
-y^4+4*y^2-2
-y^4+4*y^2+2
How do you in partial fractions?:
exp(-x)/(1+E^(-x))^2
4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
(2-i)^2-z/i+((4-i)*i^7)/(i-2)
1/(x-x^2)
Identical expressions
(x/x^ two - four +x/(x- two)^ two)*(two -x)^ two / two *x-x/x+ two
(x divide by x squared minus 4 plus x divide by (x minus 2) squared ) multiply by (2 minus x) squared divide by 2 multiply by x minus x divide by x plus 2
(x divide by x to the power of two minus four plus x divide by (x minus two) to the power of two) multiply by (two minus x) to the power of two divide by two multiply by x minus x divide by x plus two
(x/x2-4+x/(x-2)2)*(2-x)2/2*x-x/x+2
x/x2-4+x/x-22*2-x2/2*x-x/x+2
(x/x²-4+x/(x-2)²)*(2-x)²/2*x-x/x+2
(x/x to the power of 2-4+x/(x-2) to the power of 2)*(2-x) to the power of 2/2*x-x/x+2
(x/x^2-4+x/(x-2)^2)(2-x)^2/2x-x/x+2
(x/x2-4+x/(x-2)2)(2-x)2/2x-x/x+2
x/x2-4+x/x-222-x2/2x-x/x+2
x/x^2-4+x/x-2^22-x^2/2x-x/x+2
(x divide by x^2-4+x divide by (x-2)^2)*(2-x)^2 divide by 2*x-x divide by x+2
Similar expressions
(x/x^2-4+x/(x-2)^2)*(2-x)^2/2*x+x/x+2
(x/x^2+4+x/(x-2)^2)*(2-x)^2/2*x-x/x+2
(x/x^2-4-x/(x-2)^2)*(2-x)^2/2*x-x/x+2
(x/x^2-4+x/(x-2)^2)*(2-x)^2/2*x-x/x-2
(x/x^2-4+x/(x-2)^2)*(2+x)^2/2*x-x/x+2
(x/x^2-4+x/(x+2)^2)*(2-x)^2/2*x-x/x+2

Expression simplification/ Least common denominator/ (x/x^2-4+x/(x-2)^2)*(2-x)^2/2*x-x/x+2

Least common denominator (x/x^2-4+x/(x-2)^2)(2-x)^2/2x-x/x+2

The solution

You have entered [src]

/x           x    \        2          
|-- - 4 + --------|*(2 - x)           
| 2              2|                   
\x        (x - 2) /              x    
----------------------------*x - - + 2
             2                   x

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

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

Fraction decomposition [src]

3 - 10*x - 2*x^3 + 9*x^2

$$- 2 x^{3} + 9 x^{2} - 10 x + 3$$

              3      2
3 - 10*x - 2*x  + 9*x

General simplification [src]

              3      2
3 - 10*x - 2*x  + 9*x

$$- 2 x^{3} + 9 x^{2} - 10 x + 3$$

3 - 10*x - 2*x^3 + 9*x^2

Trigonometric part [src]

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

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

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

Assemble expression [src]

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

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

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

Numerical answer [src]

1.0 + 2.0*x*(1 - 0.5*x)^2*(-4.0 + 1/x + 0.25*x/(-1 + 0.5*x)^2)

1.0 + 2.0*x*(1 - 0.5*x)^2*(-4.0 + 1/x + 0.25*x/(-1 + 0.5*x)^2)

Rational denominator [src]

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

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

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

Combining rational expressions [src]

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

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

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

Common denominator [src]

              3      2
3 - 10*x - 2*x  + 9*x

$$- 2 x^{3} + 9 x^{2} - 10 x + 3$$

3 - 10*x - 2*x^3 + 9*x^2

Combinatorics [src]

-(-1 + x)*(-1 + 2*x)*(-3 + x)

$$- \left(x - 3\right) \left(x - 1\right) \left(2 x - 1\right)$$

-(-1 + x)*(-1 + 2*x)*(-3 + x)

Powers [src]

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

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

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

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

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

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How to use it?

Identical expressions

Similar expressions

Least common denominator (x/x^2-4+x/(x-2)^2)*(2-x)^2/2*x-x/x+2

The solution

Least common denominator (x/x^2-4+x/(x-2)^2)(2-x)^2/2x-x/x+2