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How to use it?
How do you in partial fractions?:
(x+3)/(x^2-1)
(x-3)/(x^2+1)
(x^2-x+1)/(x^2+x+1)
(x+1)/(x^3+x-2)
Factor polynomial:
y^2-4*y+4
x*y^3+x*y^2*b
x*y+2*x^2*y
x*y^2-16*x^3
Least common denominator:
tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x)^(2*(1-x)^(2/3))*(-4*log(tan(x))/(3*(1-x)^(1/3))+2*(1-x)^(2/3)*(1+tan(x)^2)/tan(x))
tan(x)^(1/x)*(-log(tan(x))/x^2+(1+tan(x)^2)/(x*tan(x)))
tan(pi)/9+tan(5*pi)/36/1-tan(5*pi)/36*tan(pi)/9
Factor squared:
y^4-15*y^2+1
-y^4+12*y^2-11
-y^2+y*x+9*x^2
y^4-2*y^2+10
Identical expressions
((x- zero . fifteen)*(x- zero . two)*(x- zero . twenty-five))/((zero . one - zero . fifteen)*(zero . one - zero . two)*(zero . one - zero . twenty-five))
((x minus 0.15) multiply by (x minus 0.2) multiply by (x minus 0.25)) divide by ((0.1 minus 0.15) multiply by (0.1 minus 0.2) multiply by (0.1 minus 0.25))
((x minus zero . fifteen) multiply by (x minus zero . two) multiply by (x minus zero . twenty minus five)) divide by ((zero . one minus zero . fifteen) multiply by (zero . one minus zero . two) multiply by (zero . one minus zero . twenty minus five))
((x-0.15)(x-0.2)(x-0.25))/((0.1-0.15)(0.1-0.2)(0.1-0.25))
x-0.15x-0.2x-0.25/0.1-0.150.1-0.20.1-0.25
((x-0.15)*(x-0.2)*(x-0.25)) divide by ((0.1-0.15)*(0.1-0.2)*(0.1-0.25))
Similar expressions
((x-0.15)*(x-0.2)*(x+0.25))/((0.1-0.15)*(0.1-0.2)*(0.1-0.25))
((x-0.15)*(x-0.2)*(x-0.25))/((0.1+0.15)*(0.1-0.2)*(0.1-0.25))
((x-0.15)*(x+0.2)*(x-0.25))/((0.1-0.15)*(0.1-0.2)*(0.1-0.25))
((x-0.15)*(x-0.2)*(x-0.25))/((0.1-0.15)*(0.1+0.2)*(0.1-0.25))
((x-0.15)*(x-0.2)*(x-0.25))/((0.1-0.15)*(0.1-0.2)*(0.1+0.25))
((x+0.15)*(x-0.2)*(x-0.25))/((0.1-0.15)*(0.1-0.2)*(0.1-0.25))

Expression simplification/ Fraction Decomposition into the simple/ ((x-0.15)*(x-0.2)*(x-0.25))/((0.1-0.15)*(0.1-0.2)*(0.1-0.25))

How do you ((x-0.15)(x-0.2)(x-0.25))/((0.1-0.15)(0.1-0.2)(0.1-0.25)) in partial fractions?

The solution

You have entered [src]

     (x - 3/20)*(x - 1/5)*(x - 1/4)    
---------------------------------------
(1/10 - 3/20)*(1/10 - 1/5)*(1/10 - 1/4)

$$\frac{\left(x - \frac{1}{5}\right) \left(x - \frac{3}{20}\right) \left(x - \frac{1}{4}\right)}{\left(- \frac{1}{5} + \frac{1}{10}\right) \left(- \frac{3}{20} + \frac{1}{10}\right) \left(- \frac{1}{4} + \frac{1}{10}\right)}$$

(((x - 3/20)*(x - 1/5))*(x - 1/4))/((((1/10 - 3/20)*(1/10 - 1/5))*(1/10 - 1/4)))

General simplification [src]

                    3        
          2   4000*x    470*x
10 + 800*x  - ------- - -----
                 3        3

$$- \frac{4000 x^{3}}{3} + 800 x^{2} - \frac{470 x}{3} + 10$$

10 + 800*x^2 - 4000*x^3/3 - 470*x/3

Factorization [src]

(x - 3/20)*(x - 1/5)*(x - 1/4)

$$\left(x - \frac{1}{5}\right) \left(x - \frac{3}{20}\right) \left(x - \frac{1}{4}\right)$$

((x - 3/20)*(x - 1/5))*(x - 1/4)

Fraction decomposition [src]

10 + 800*x^2 - 4000*x^3/3 - 470*x/3

$$- \frac{4000 x^{3}}{3} + 800 x^{2} - \frac{470 x}{3} + 10$$

                    3        
          2   4000*x    470*x
10 + 800*x  - ------- - -----
                 3        3

Assemble expression [src]

-4000*(-3/20 + x)*(-1/4 + x)*(-1/5 + x)
---------------------------------------
                   3

$$- \frac{4000 \left(x - \frac{1}{4}\right) \left(x - \frac{1}{5}\right) \left(x - \frac{3}{20}\right)}{3}$$

-4000*(-3/20 + x)*(-1/4 + x)*(-1/5 + x)/3

Numerical answer [src]

-1333.33333333333*(-0.25 + x)*(-0.2 + x)*(-0.15 + x)

-1333.33333333333*(-0.25 + x)*(-0.2 + x)*(-0.15 + x)

Expand expression [src]

     (x - 3/20)*(x - 1/4)*(x - 1/5)    
---------------------------------------
(1/10 - 3/20)*(1/10 - 1/4)*(1/10 - 1/5)

$$\frac{\left(x - \frac{1}{4}\right) \left(x - \frac{1}{5}\right) \left(x - \frac{3}{20}\right)}{\left(- \frac{1}{4} + \frac{1}{10}\right) \left(- \frac{1}{5} + \frac{1}{10}\right) \left(- \frac{3}{20} + \frac{1}{10}\right)}$$

(x - 3/20)*(x - 1/4)*(x - 1/5)/((1/10 - 3/20)*(1/10 - 1/4)*(1/10 - 1/5))

Common denominator [src]

                    3        
          2   4000*x    470*x
10 + 800*x  - ------- - -----
                 3        3

$$- \frac{4000 x^{3}}{3} + 800 x^{2} - \frac{470 x}{3} + 10$$

10 + 800*x^2 - 4000*x^3/3 - 470*x/3

Combinatorics [src]

-10*(-1 + 4*x)*(-1 + 5*x)*(-3 + 20*x)
-------------------------------------
                  3

$$- \frac{10 \left(4 x - 1\right) \left(5 x - 1\right) \left(20 x - 3\right)}{3}$$

-10*(-1 + 4*x)*(-1 + 5*x)*(-3 + 20*x)/3

Combining rational expressions [src]

-10*(-1 + 4*x)*(-1 + 5*x)*(-3 + 20*x)
-------------------------------------
                  3

$$- \frac{10 \left(4 x - 1\right) \left(5 x - 1\right) \left(20 x - 3\right)}{3}$$

-10*(-1 + 4*x)*(-1 + 5*x)*(-3 + 20*x)/3

Trigonometric part [src]

-4000*(-3/20 + x)*(-1/4 + x)*(-1/5 + x)
---------------------------------------
                   3

$$- \frac{4000 \left(x - \frac{1}{4}\right) \left(x - \frac{1}{5}\right) \left(x - \frac{3}{20}\right)}{3}$$

-4000*(-3/20 + x)*(-1/4 + x)*(-1/5 + x)/3

Powers [src]

-4000*(-3/20 + x)*(-1/4 + x)*(-1/5 + x)
---------------------------------------
                   3

$$- \frac{4000 \left(x - \frac{1}{4}\right) \left(x - \frac{1}{5}\right) \left(x - \frac{3}{20}\right)}{3}$$

-4000*(-3/20 + x)*(-1/4 + x)*(-1/5 + x)/3

Rational denominator [src]

-10*(-1 + 4*x)*(-1 + 5*x)*(-3 + 20*x)
-------------------------------------
                  3

$$- \frac{10 \left(4 x - 1\right) \left(5 x - 1\right) \left(20 x - 3\right)}{3}$$

-10*(-1 + 4*x)*(-1 + 5*x)*(-3 + 20*x)/3

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Identical expressions

Similar expressions

How do you ((x-0.15)*(x-0.2)*(x-0.25))/((0.1-0.15)*(0.1-0.2)*(0.1-0.25)) in partial fractions?

The solution

How do you ((x-0.15)(x-0.2)(x-0.25))/((0.1-0.15)(0.1-0.2)(0.1-0.25)) in partial fractions?