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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+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
Identical expressions
(((x+ nine)/(x+ seven))^- one)*((x+ seven)/((x^ two)+ eighty-one - eighteen *x)+(x+ five)/((x^ two)- eighty-one))*((x+ three)/(x- nine))^- two
(((x plus 9) divide by (x plus 7)) to the power of minus 1) multiply by ((x plus 7) divide by ((x squared ) plus 81 minus 18 multiply by x) plus (x plus 5) divide by ((x squared ) minus 81)) multiply by ((x plus 3) divide by (x minus 9)) to the power of minus 2
(((x plus nine) divide by (x plus seven)) to the power of minus one) multiply by ((x plus seven) divide by ((x to the power of two) plus eighty minus one minus eighteen multiply by x) plus (x plus five) divide by ((x to the power of two) minus eighty minus one)) multiply by ((x plus three) divide by (x minus nine)) to the power of minus two
(((x+9)/(x+7))-1)*((x+7)/((x2)+81-18*x)+(x+5)/((x2)-81))*((x+3)/(x-9))-2
x+9/x+7-1*x+7/x2+81-18*x+x+5/x2-81*x+3/x-9-2
(((x+9)/(x+7))^-1)*((x+7)/((x²)+81-18*x)+(x+5)/((x²)-81))*((x+3)/(x-9))^-2
(((x+9)/(x+7)) to the power of -1)*((x+7)/((x to the power of 2)+81-18*x)+(x+5)/((x to the power of 2)-81))*((x+3)/(x-9)) to the power of -2
(((x+9)/(x+7))^-1)((x+7)/((x^2)+81-18x)+(x+5)/((x^2)-81))((x+3)/(x-9))^-2
(((x+9)/(x+7))-1)((x+7)/((x2)+81-18x)+(x+5)/((x2)-81))((x+3)/(x-9))-2
x+9/x+7-1x+7/x2+81-18x+x+5/x2-81x+3/x-9-2
x+9/x+7^-1x+7/x^2+81-18x+x+5/x^2-81x+3/x-9^-2
(((x+9) divide by (x+7))^-1)*((x+7) divide by ((x^2)+81-18*x)+(x+5) divide by ((x^2)-81))*((x+3) divide by (x-9))^-2
Similar expressions
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)+81))*((x+3)/(x-9))^-2
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x-5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x+9)/(x+7))^-1)*((x+7)/((x^2)-81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x+9)/(x+7))^-1)*((x-7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x+9)/(x+7))^+1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x-9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)-(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x-3)/(x-9))^-2
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x+9))^-2
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81+18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x+9)/(x-7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^+2

Expression simplification/ 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

Least common denominator (((x+9)/(x+7))^-1)((x+7)/((x^2)+81-18x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2

The solution

You have entered [src]

/    x + 7         x + 5 \
|-------------- + -------|
| 2                2     |
|x  + 81 - 18*x   x  - 81|
|------------------------|
|        /x + 9\         |
|        |-----|         |
\        \x + 7/         /
--------------------------
                2         
         /x + 3\          
         |-----|          
         \x - 9/

$$\frac{\frac{1}{\frac{1}{x + 7} \left(x + 9\right)} \left(\frac{x + 5}{x^{2} - 81} + \frac{x + 7}{- 18 x + \left(x^{2} + 81\right)}\right)}{\frac{1}{\left(x - 9\right)^{2}} \left(x + 3\right)^{2}}$$

(((x + 7)/(x^2 + 81 - 18*x) + (x + 5)/(x^2 - 81))/(((x + 9)/(x + 7))))/((x + 3)/(x - 9))^2

Fraction decomposition [src]

-4/(9 + x)^2 + 2/(9 + x)

$$\frac{2}{x + 9} - \frac{4}{\left(x + 9\right)^{2}}$$

     4         2  
- -------- + -----
         2   9 + x
  (9 + x)

General simplification [src]

  2*(7 + x)   
--------------
      2       
81 + x  + 18*x

$$\frac{2 \left(x + 7\right)}{x^{2} + 18 x + 81}$$

2*(7 + x)/(81 + x^2 + 18*x)

Expand expression [src]

       2         /    x + 7         x + 5 \
(x - 9) *(x + 7)*|-------------- + -------|
                 | 2                2     |
                 \x  + 81 - 18*x   x  - 81/
-------------------------------------------
                     2                     
              (x + 3) *(x + 9)

$$\frac{\left(x - 9\right)^{2} \left(x + 7\right) \left(\frac{x + 5}{x^{2} - 81} + \frac{x + 7}{- 18 x + \left(x^{2} + 81\right)}\right)}{\left(x + 3\right)^{2} \left(x + 9\right)}$$

(x - 9)^2*(x + 7)*((x + 7)/(x^2 + 81 - 18*x) + (x + 5)/(x^2 - 81))/((x + 3)^2*(x + 9))

Combining rational expressions [src]

        2         //       2\                   /      2       \\
(-9 + x) *(7 + x)*\\-81 + x /*(7 + x) + (5 + x)*\81 + x  - 18*x//
-----------------------------------------------------------------
           /       2\        2         /      2       \          
           \-81 + x /*(3 + x) *(9 + x)*\81 + x  - 18*x/

$$\frac{\left(x - 9\right)^{2} \left(x + 7\right) \left(\left(x + 5\right) \left(x^{2} - 18 x + 81\right) + \left(x + 7\right) \left(x^{2} - 81\right)\right)}{\left(x + 3\right)^{2} \left(x + 9\right) \left(x^{2} - 81\right) \left(x^{2} - 18 x + 81\right)}$$

(-9 + x)^2*(7 + x)*((-81 + x^2)*(7 + x) + (5 + x)*(81 + x^2 - 18*x))/((-81 + x^2)*(3 + x)^2*(9 + x)*(81 + x^2 - 18*x))

Numerical answer [src]

9.0*(-1 + 0.111111111111111*x)^2*(7.0 + x)*((5.0 + x)/(-81.0 + x^2) + (7.0 + x)/(81.0 + x^2 - 18.0*x))/((1 + 0.333333333333333*x)^2*(9.0 + x))

9.0*(-1 + 0.111111111111111*x)^2*(7.0 + x)*((5.0 + x)/(-81.0 + x^2) + (7.0 + x)/(81.0 + x^2 - 18.0*x))/((1 + 0.333333333333333*x)^2*(9.0 + x))

Assemble expression [src]

        2         / 5 + x         7 + x     \
(-9 + x) *(7 + x)*|-------- + --------------|
                  |       2         2       |
                  \-81 + x    81 + x  - 18*x/
---------------------------------------------
                      2                      
               (3 + x) *(9 + x)

$$\frac{\left(x - 9\right)^{2} \left(x + 7\right) \left(\frac{x + 5}{x^{2} - 81} + \frac{x + 7}{x^{2} - 18 x + 81}\right)}{\left(x + 3\right)^{2} \left(x + 9\right)}$$

(-9 + x)^2*(7 + x)*((5 + x)/(-81 + x^2) + (7 + x)/(81 + x^2 - 18*x))/((3 + x)^2*(9 + x))

Rational denominator [src]

        2         //       2\                   /      2       \\
(-9 + x) *(7 + x)*\\-81 + x /*(7 + x) + (5 + x)*\81 + x  - 18*x//
-----------------------------------------------------------------
           /       2\        2         /      2       \          
           \-81 + x /*(3 + x) *(9 + x)*\81 + x  - 18*x/

(-9 + x)^2*(7 + x)*((-81 + x^2)*(7 + x) + (5 + x)*(81 + x^2 - 18*x))/((-81 + x^2)*(3 + x)^2*(9 + x)*(81 + x^2 - 18*x))

Powers [src]

        2         / 5 + x         7 + x     \
(-9 + x) *(7 + x)*|-------- + --------------|
                  |       2         2       |
                  \-81 + x    81 + x  - 18*x/
---------------------------------------------
                      2                      
               (3 + x) *(9 + x)

$$\frac{\left(x - 9\right)^{2} \left(x + 7\right) \left(\frac{x + 5}{x^{2} - 81} + \frac{x + 7}{x^{2} - 18 x + 81}\right)}{\left(x + 3\right)^{2} \left(x + 9\right)}$$

(-9 + x)^2*(7 + x)*((5 + x)/(-81 + x^2) + (7 + x)/(81 + x^2 - 18*x))/((3 + x)^2*(9 + x))

Trigonometric part [src]

        2         / 5 + x         7 + x     \
(-9 + x) *(7 + x)*|-------- + --------------|
                  |       2         2       |
                  \-81 + x    81 + x  - 18*x/
---------------------------------------------
                      2                      
               (3 + x) *(9 + x)

$$\frac{\left(x - 9\right)^{2} \left(x + 7\right) \left(\frac{x + 5}{x^{2} - 81} + \frac{x + 7}{x^{2} - 18 x + 81}\right)}{\left(x + 3\right)^{2} \left(x + 9\right)}$$

(-9 + x)^2*(7 + x)*((5 + x)/(-81 + x^2) + (7 + x)/(81 + x^2 - 18*x))/((3 + x)^2*(9 + x))

Combinatorics [src]

2*(7 + x)
---------
        2
 (9 + x)

$$\frac{2 \left(x + 7\right)}{\left(x + 9\right)^{2}}$$

2*(7 + x)/(9 + x)^2

Common denominator [src]

   14 + 2*x   
--------------
      2       
81 + x  + 18*x

$$\frac{2 x + 14}{x^{2} + 18 x + 81}$$

(14 + 2*x)/(81 + x^2 + 18*x)

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How to use it?

Identical expressions

Similar expressions

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

The solution

Least common denominator (((x+9)/(x+7))^-1)((x+7)/((x^2)+81-18x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2