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Least common denominator:
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)
tan((x-pi)/4)-tan((x+pi)/4)
sqrt(13-x^2)*sqrt(1-1/2+x/4)/4-sqrt(1-13/16+x^2/16)*sqrt(2-x)/2
Factor polynomial:
x^4+y^4+z^4
x^4+y^4+y^4
x^4+y^4+x^4
x^4+y^4+2*x^2*y^2-6*x-36*y^2+25
Factor squared:
y^2+2*y*b+7*b^2
-y^2-2*y*t-4*t^2
-y^2-2*y*p-2*p^2
-y^2+2*y+7
How do you in partial fractions?:
(-3*x^2+2*x+1)/(x-1)
1-n/25-9n^2-3n/(3n-5)^2
(x+8)/x^2+16*x+64/(x-8)
((x^4+3)*(-(x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)
How do you in partial fractions?:
((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)
Identical expressions
((x+ one)^ two /(x- one)^ two)*(x- one)*(two /(x- one)- two *(x+ one)/(x- one)^ two)/(x+ one)
((x plus 1) squared divide by (x minus 1) squared ) multiply by (x minus 1) multiply by (2 divide by (x minus 1) minus 2 multiply by (x plus 1) divide by (x minus 1) squared ) divide by (x plus 1)
((x plus one) to the power of two divide by (x minus one) to the power of two) multiply by (x minus one) multiply by (two divide by (x minus one) minus two multiply by (x plus one) divide by (x minus one) to the power of two) divide by (x plus one)
((x+1)2/(x-1)2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)2)/(x+1)
x+12/x-12*x-1*2/x-1-2*x+1/x-12/x+1
((x+1)²/(x-1)²)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)²)/(x+1)
((x+1) to the power of 2/(x-1) to the power of 2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1) to the power of 2)/(x+1)
((x+1)^2/(x-1)^2)(x-1)(2/(x-1)-2(x+1)/(x-1)^2)/(x+1)
((x+1)2/(x-1)2)(x-1)(2/(x-1)-2(x+1)/(x-1)2)/(x+1)
x+12/x-12x-12/x-1-2x+1/x-12/x+1
x+1^2/x-1^2x-12/x-1-2x+1/x-1^2/x+1
((x+1)^2 divide by (x-1)^2)*(x-1)*(2 divide by (x-1)-2*(x+1) divide by (x-1)^2) divide by (x+1)
Similar expressions
((x+1)^2/(x-1)^2)*(x+1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)
((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x-1)
((x-1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)
((x+1)^2/(x-1)^2)*(x-1)*(2/(x+1)-2*(x+1)/(x-1)^2)/(x+1)
((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x-1)/(x-1)^2)/(x+1)
((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x+1)^2)/(x+1)
((x+1)^2/(x+1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)
((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)+2*(x+1)/(x-1)^2)/(x+1)

Expression simplification/ Least common denominator/ ((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)

Least common denominator ((x+1)^2/(x-1)^2)(x-1)(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)

The solution

You have entered [src]

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

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

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

Fraction decomposition [src]

-8/(-1 + x)^3 - 4/(-1 + x)^2

$$- \frac{4}{\left(x - 1\right)^{2}} - \frac{8}{\left(x - 1\right)^{3}}$$

      8           4    
- --------- - ---------
          3           2
  (-1 + x)    (-1 + x)

General simplification [src]

-(4 + 4*x) 
-----------
         3 
 (-1 + x)

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

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

Numerical answer [src]

(1.0 + x)*(2.0/(-1.0 + x) - (2.0 + 2.0*x)/(-1.0 + x)^2)/(-1.0 + x)

(1.0 + x)*(2.0/(-1.0 + x) - (2.0 + 2.0*x)/(-1.0 + x)^2)/(-1.0 + x)

Assemble expression [src]

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

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

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

Powers [src]

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

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

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

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

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

Combining rational expressions [src]

-4*(1 + x)
----------
        3 
(-1 + x)

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

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

Combinatorics [src]

-4*(1 + x)
----------
        3 
(-1 + x)

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

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

Rational denominator [src]

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

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

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

Common denominator [src]

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

$$- \frac{4 x + 4}{x^{3} - 3 x^{2} + 3 x - 1}$$

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

Trigonometric part [src]

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

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

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Least common denominator ((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)

The solution

Least common denominator ((x+1)^2/(x-1)^2)(x-1)(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)