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Least common denominator:
(x-x*x*x/6+x*x*x*x*x/120)^3
(x-x^2/280)*(1-x/140)
(-x)*sqrt(5)/(5*sqrt(x^2)*sqrt(1-x^2/5))
(x-sin(2*(x-1))/2-1)/2
Factor polynomial:
z^2+5*z-6
-y^6+1
y^3+y^2*x-3*y*x+9*x+27
x^2+7
Factor squared:
-y^4-7*y^2-11
-y^4+6*y^2+9
y^4-6*y^2-5
-y^4-7*y^2+2
How do you in partial fractions?:
-625/112+(x^2+1)^2/((x*(x+1)^2))
(x^2-4*x+3)/(x+2)
1/(x+1)-(x-1)/(x+1)^2
((y-4)/(3*y-3)+1/(y-1))/(y+1)/3+2/(y^2-1)
Identical expressions
(x^ three - seven *x+ six *x)/ two -x^ three + six *x^ two - six +(x^ three - five *x^ two - six *x)/ two +(x^ three -x)/ one hundred and five
(x cubed minus 7 multiply by x plus 6 multiply by x) divide by 2 minus x cubed plus 6 multiply by x squared minus 6 plus (x cubed minus 5 multiply by x squared minus 6 multiply by x) divide by 2 plus (x cubed minus x) divide by 105
(x to the power of three minus seven multiply by x plus six multiply by x) divide by two minus x to the power of three plus six multiply by x to the power of two minus six plus (x to the power of three minus five multiply by x to the power of two minus six multiply by x) divide by two plus (x to the power of three minus x) divide by one hundred and five
(x3-7*x+6*x)/2-x3+6*x2-6+(x3-5*x2-6*x)/2+(x3-x)/105
x3-7*x+6*x/2-x3+6*x2-6+x3-5*x2-6*x/2+x3-x/105
(x³-7*x+6*x)/2-x³+6*x²-6+(x³-5*x²-6*x)/2+(x³-x)/105
(x to the power of 3-7*x+6*x)/2-x to the power of 3+6*x to the power of 2-6+(x to the power of 3-5*x to the power of 2-6*x)/2+(x to the power of 3-x)/105
(x^3-7x+6x)/2-x^3+6x^2-6+(x^3-5x^2-6x)/2+(x^3-x)/105
(x3-7x+6x)/2-x3+6x2-6+(x3-5x2-6x)/2+(x3-x)/105
x3-7x+6x/2-x3+6x2-6+x3-5x2-6x/2+x3-x/105
x^3-7x+6x/2-x^3+6x^2-6+x^3-5x^2-6x/2+x^3-x/105
(x^3-7*x+6*x) divide by 2-x^3+6*x^2-6+(x^3-5*x^2-6*x) divide by 2+(x^3-x) divide by 105
Similar expressions
(x^3-7*x-6*x)/2-x^3+6*x^2-6+(x^3-5*x^2-6*x)/2+(x^3-x)/105
(x^3-7*x+6*x)/2+x^3+6*x^2-6+(x^3-5*x^2-6*x)/2+(x^3-x)/105
(x^3-7*x+6*x)/2-x^3+6*x^2+6+(x^3-5*x^2-6*x)/2+(x^3-x)/105
(x^3-7*x+6*x)/2-x^3+6*x^2-6+(x^3+5*x^2-6*x)/2+(x^3-x)/105
(x^3-7*x+6*x)/2-x^3-6*x^2-6+(x^3-5*x^2-6*x)/2+(x^3-x)/105
(x^3-7*x+6*x)/2-x^3+6*x^2-6-(x^3-5*x^2-6*x)/2+(x^3-x)/105
(x^3-7*x+6*x)/2-x^3+6*x^2-6+(x^3-5*x^2-6*x)/2+(x^3+x)/105
(x^3-7*x+6*x)/2-x^3+6*x^2-6+(x^3-5*x^2+6*x)/2+(x^3-x)/105
(x^3-7*x+6*x)/2-x^3+6*x^2-6+(x^3-5*x^2-6*x)/2-(x^3-x)/105
(x^3+7*x+6*x)/2-x^3+6*x^2-6+(x^3-5*x^2-6*x)/2+(x^3-x)/105

Expression simplification/ Least common denominator/ (x^3-7*x+6*x)/2-x^3+6*x^2-6+(x^3-5*x^2-6*x)/2+(x^3-x)/105

Least common denominator (x^3-7x+6x)/2-x^3+6x^2-6+(x^3-5x^2-6*x)/2+(x^3-x)/105

The solution

You have entered [src]

 3                                3      2          3    
x  - 7*x + 6*x    3      2       x  - 5*x  - 6*x   x  - x
-------------- - x  + 6*x  - 6 + --------------- + ------
      2                                 2           105

$$\frac{x^{3} - x}{105} + \left(\frac{- 6 x + \left(x^{3} - 5 x^{2}\right)}{2} + \left(\left(6 x^{2} + \left(- x^{3} + \frac{6 x + \left(x^{3} - 7 x\right)}{2}\right)\right) - 6\right)\right)$$

(x^3 - 7*x + 6*x)/2 - x^3 + 6*x^2 - 6 + (x^3 - 5*x^2 - 6*x)/2 + (x^3 - x)/105

Fraction decomposition [src]

-6 - 737*x/210 + x^3/105 + 7*x^2/2

$$\frac{x^{3}}{105} + \frac{7 x^{2}}{2} - \frac{737 x}{210} - 6$$

               3      2
     737*x    x    7*x 
-6 - ----- + --- + ----
      210    105    2

General simplification [src]

               3      2
     737*x    x    7*x 
-6 - ----- + --- + ----
      210    105    2

$$\frac{x^{3}}{105} + \frac{7 x^{2}}{2} - \frac{737 x}{210} - 6$$

-6 - 737*x/210 + x^3/105 + 7*x^2/2

Factorization [src]

/                                                                            ___________________________________                \ /                                                                            ___________________________________                \ /                                                            ___________________________________\
|                                                                           /                   _______________  /          ___\| |                                                                           /                   _______________  /          ___\| |                                                           /                   _______________ |
|                                                                          /  200936295   3*I*\/ 6966735935547   |  1   I*\/ 3 || |                                                                          /  200936295   3*I*\/ 6966735935547   |  1   I*\/ 3 || |                                                          /  200936295   3*I*\/ 6966735935547  |
|                                                                       3 /   --------- + --------------------- *|- - - -------|| |                                                                       3 /   --------- + --------------------- *|- - + -------|| |                                                       3 /   --------- + --------------------- |
|    245                             181549                             \/        4                 8            \  2      2   /| |    245                             181549                             \/        4                 8            \  2      2   /| |    245                     181549                     \/        4                 8           |
|x + --- + ---------------------------------------------------------- + --------------------------------------------------------|*|x + --- + ---------------------------------------------------------- + --------------------------------------------------------|*|x + --- + ------------------------------------------ + ----------------------------------------|
|     2                           ___________________________________                              3                            | |     2                           ___________________________________                              3                            | |     2           ___________________________________                      3                    |
|            /          ___\     /                   _______________                                                            | |            /          ___\     /                   _______________                                                            | |                /                   _______________                                            |
|            |  1   I*\/ 3 |    /  200936295   3*I*\/ 6966735935547                                                             | |            |  1   I*\/ 3 |    /  200936295   3*I*\/ 6966735935547                                                             | |               /  200936295   3*I*\/ 6966735935547                                             |
|          4*|- - - -------|*3 /   --------- + ---------------------                                                            | |          4*|- - + -------|*3 /   --------- + ---------------------                                                            | |          4*3 /   --------- + ---------------------                                            |
\            \  2      2   / \/        4                 8                                                                      / \            \  2      2   / \/        4                 8                                                                      / \            \/        4                 8                                                      /

$$\left(x + \left(\frac{245}{2} + \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{200936295}{4} + \frac{3 \sqrt{6966735935547} i}{8}}}{3} + \frac{181549}{4 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{200936295}{4} + \frac{3 \sqrt{6966735935547} i}{8}}}\right)\right) \left(x + \left(\frac{245}{2} + \frac{181549}{4 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{200936295}{4} + \frac{3 \sqrt{6966735935547} i}{8}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{200936295}{4} + \frac{3 \sqrt{6966735935547} i}{8}}}{3}\right)\right) \left(x + \left(\frac{245}{2} + \frac{181549}{4 \sqrt[3]{\frac{200936295}{4} + \frac{3 \sqrt{6966735935547} i}{8}}} + \frac{\sqrt[3]{\frac{200936295}{4} + \frac{3 \sqrt{6966735935547} i}{8}}}{3}\right)\right)$$

((x + 245/2 + 181549/(4*(-1/2 - i*sqrt(3)/2)*(200936295/4 + 3*i*sqrt(6966735935547)/8)^(1/3)) + (200936295/4 + 3*i*sqrt(6966735935547)/8)^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x + 245/2 + 181549/(4*(-1/2 + i*sqrt(3)/2)*(200936295/4 + 3*i*sqrt(6966735935547)/8)^(1/3)) + (200936295/4 + 3*i*sqrt(6966735935547)/8)^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x + 245/2 + 181549/(4*(200936295/4 + 3*i*sqrt(6966735935547)/8)^(1/3)) + (200936295/4 + 3*i*sqrt(6966735935547)/8)^(1/3)/3)

Numerical answer [src]

-6.0 + 3.5*x^2 + 0.00952380952380952*x^3 - 3.50952380952381*x

-6.0 + 3.5*x^2 + 0.00952380952380952*x^3 - 3.50952380952381*x

Powers [src]

               3      2
     737*x    x    7*x 
-6 - ----- + --- + ----
      210    105    2

$$\frac{x^{3}}{105} + \frac{7 x^{2}}{2} - \frac{737 x}{210} - 6$$

-6 - 737*x/210 + x^3/105 + 7*x^2/2

Combinatorics [src]

               3      2
     737*x    x    7*x 
-6 - ----- + --- + ----
      210    105    2

$$\frac{x^{3}}{105} + \frac{7 x^{2}}{2} - \frac{737 x}{210} - 6$$

-6 - 737*x/210 + x^3/105 + 7*x^2/2

Assemble expression [src]

               3      2
     737*x    x    7*x 
-6 - ----- + --- + ----
      210    105    2

$$\frac{x^{3}}{105} + \frac{7 x^{2}}{2} - \frac{737 x}{210} - 6$$

-6 - 737*x/210 + x^3/105 + 7*x^2/2

Rational denominator [src]

                   3        2
-1260 - 737*x + 2*x  + 735*x 
-----------------------------
             210

$$\frac{2 x^{3} + 735 x^{2} - 737 x - 1260}{210}$$

(-1260 - 737*x + 2*x^3 + 735*x^2)/210

Common denominator [src]

               3      2
     737*x    x    7*x 
-6 - ----- + --- + ----
      210    105    2

$$\frac{x^{3}}{105} + \frac{7 x^{2}}{2} - \frac{737 x}{210} - 6$$

-6 - 737*x/210 + x^3/105 + 7*x^2/2

Trigonometric part [src]

               3      2
     737*x    x    7*x 
-6 - ----- + --- + ----
      210    105    2

$$\frac{x^{3}}{105} + \frac{7 x^{2}}{2} - \frac{737 x}{210} - 6$$

-6 - 737*x/210 + x^3/105 + 7*x^2/2

Combining rational expressions [src]

            /      2\                                   /      2       \
-1260 + 2*x*\-1 + x / + 105*x*(-6 + x*(-5 + x)) + 105*x*\-1 - x  + 12*x/
------------------------------------------------------------------------
                                  210

$$\frac{2 x \left(x^{2} - 1\right) + 105 x \left(x \left(x - 5\right) - 6\right) + 105 x \left(- x^{2} + 12 x - 1\right) - 1260}{210}$$

(-1260 + 2*x*(-1 + x^2) + 105*x*(-6 + x*(-5 + x)) + 105*x*(-1 - x^2 + 12*x))/210

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How to use it?

Identical expressions

Similar expressions

Least common denominator (x^3-7*x+6*x)/2-x^3+6*x^2-6+(x^3-5*x^2-6*x)/2+(x^3-x)/105

The solution

Least common denominator (x^3-7x+6x)/2-x^3+6x^2-6+(x^3-5x^2-6*x)/2+(x^3-x)/105