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Least common denominator:
(x/y)-(y/x)-y/x+y-1
(x*y+10*y^2/2-5*(y-1)^2-(x-10)*(y-1))/((x-10)*(y-1)+10*(y-1)^2/2-5*(y-2)^2-(x-20)*(y-2))
(x-x*x*x/6+x*x*x*x*x/120)^2
(x-x^3/6+x^5/120-x^7/5040)^3
Factor polynomial:
z^2+d/z-2
z^2-6*z+5
z^2+6*z+1
z^2+6927*31421
Factor squared:
y^4-6*y^2-5
-y^4-6*y^2-6
y^4+7*y^2+1
y^4+6*y^2+4
How do you in partial fractions?:
(x^2-2*x+1)/(x-1)
1970000-530000/(1+r)^36-56000*(1-1/(1+r)^36)/r
(x^2+2*x-15)/(x-3)
(x*1.06)/(1+x*1.06)
Identical expressions
(x-x*x*x/ six +x*x*x*x*x/ one hundred and twenty)^ two
(x minus x multiply by x multiply by x divide by 6 plus x multiply by x multiply by x multiply by x multiply by x divide by 120) squared
(x minus x multiply by x multiply by x divide by six plus x multiply by x multiply by x multiply by x multiply by x divide by one hundred and twenty) to the power of two
(x-x*x*x/6+x*x*x*x*x/120)2
x-x*x*x/6+x*x*x*x*x/1202
(x-x*x*x/6+x*x*x*x*x/120)²
(x-x*x*x/6+x*x*x*x*x/120) to the power of 2
(x-xxx/6+xxxxx/120)^2
(x-xxx/6+xxxxx/120)2
x-xxx/6+xxxxx/1202
x-xxx/6+xxxxx/120^2
(x-x*x*x divide by 6+x*x*x*x*x divide by 120)^2
Similar expressions
(x-x*x*x/6-x*x*x*x*x/120)^2
(x+x*x*x/6+x*x*x*x*x/120)^2

Expression simplification/ Least common denominator/ (x-x*x*x/6+x*x*x*x*x/120)^2

Least common denominator (x-xxx/6+xxxxx/120)^2

The solution

You have entered [src]

                       2
/    x*x*x   x*x*x*x*x\ 
|x - ----- + ---------| 
\      6        120   /

$$\left(\frac{x x x x x}{120} + \left(x - \frac{x x x}{6}\right)\right)^{2}$$

(x - (x*x)*x/6 + ((((x*x)*x)*x)*x)/120)^2

Fraction decomposition [src]

x^2 - x^4/3 - x^8/360 + x^10/14400 + 2*x^6/45

$$\frac{x^{10}}{14400} - \frac{x^{8}}{360} + \frac{2 x^{6}}{45} - \frac{x^{4}}{3} + x^{2}$$

      4     8     10       6
 2   x     x     x      2*x 
x  - -- - --- + ----- + ----
     3    360   14400    45

General simplification [src]

                     2
 2 /       4       2\ 
x *\120 + x  - 20*x / 
----------------------
        14400

$$\frac{x^{2} \left(x^{4} - 20 x^{2} + 120\right)^{2}}{14400}$$

x^2*(120 + x^4 - 20*x^2)^2/14400

Factorization [src]

  /       ________________\ /       ________________\ /       ________________\ /       ________________\
  |      /            ___ | |      /            ___ | |      /            ___ | |      /            ___ |
x*\x + \/  10 - 2*I*\/ 5  /*\x - \/  10 - 2*I*\/ 5  /*\x + \/  10 + 2*I*\/ 5  /*\x - \/  10 + 2*I*\/ 5  /

$$x \left(x + \sqrt{10 - 2 \sqrt{5} i}\right) \left(x - \sqrt{10 - 2 \sqrt{5} i}\right) \left(x + \sqrt{10 + 2 \sqrt{5} i}\right) \left(x - \sqrt{10 + 2 \sqrt{5} i}\right)$$

(((x*(x + sqrt(10 - 2*i*sqrt(5))))*(x - sqrt(10 - 2*i*sqrt(5))))*(x + sqrt(10 + 2*i*sqrt(5))))*(x - sqrt(10 + 2*i*sqrt(5)))

Assemble expression [src]

              2
/     3     5\ 
|    x     x | 
|x - -- + ---| 
\    6    120/

$$\left(\frac{x^{5}}{120} - \frac{x^{3}}{6} + x\right)^{2}$$

(x - x^3/6 + x^5/120)^2

Common denominator [src]

      4     8     10       6
 2   x     x     x      2*x 
x  - -- - --- + ----- + ----
     3    360   14400    45

$$\frac{x^{10}}{14400} - \frac{x^{8}}{360} + \frac{2 x^{6}}{45} - \frac{x^{4}}{3} + x^{2}$$

x^2 - x^4/3 - x^8/360 + x^10/14400 + 2*x^6/45

Numerical answer [src]

(x + 0.00833333333333333*x^5 - 0.166666666666667*x^3)^2

(x + 0.00833333333333333*x^5 - 0.166666666666667*x^3)^2

Powers [src]

              2
/     3     5\ 
|    x     x | 
|x - -- + ---| 
\    6    120/

$$\left(\frac{x^{5}}{120} - \frac{x^{3}}{6} + x\right)^{2}$$

(x - x^3/6 + x^5/120)^2

Rational denominator [src]

                         2
/       3      5        \ 
\- 120*x  + 6*x  + 720*x/ 
--------------------------
          518400

$$\frac{\left(6 x^{5} - 120 x^{3} + 720 x\right)^{2}}{518400}$$

(-120*x^3 + 6*x^5 + 720*x)^2/518400

Combinatorics [src]

                     2
 2 /       4       2\ 
x *\120 + x  - 20*x / 
----------------------
        14400

$$\frac{x^{2} \left(x^{4} - 20 x^{2} + 120\right)^{2}}{14400}$$

x^2*(120 + x^4 - 20*x^2)^2/14400

Combining rational expressions [src]

                     2
 2 /       4       2\ 
x *\120 + x  - 20*x / 
----------------------
        14400

$$\frac{x^{2} \left(x^{4} - 20 x^{2} + 120\right)^{2}}{14400}$$

x^2*(120 + x^4 - 20*x^2)^2/14400

Trigonometric part [src]

              2
/     3     5\ 
|    x     x | 
|x - -- + ---| 
\    6    120/

$$\left(\frac{x^{5}}{120} - \frac{x^{3}}{6} + x\right)^{2}$$

(x - x^3/6 + x^5/120)^2

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Identical expressions

Similar expressions

Least common denominator (x-x*x*x/6+x*x*x*x*x/120)^2

The solution

Least common denominator (x-xxx/6+xxxxx/120)^2