Mister Exam

Lang:

Other calculators

How to use it?
Least common denominator:
(x/sqrt(x^2-y^2))^2+(-y/sqrt(x^2-y^2))^2
(x-sqrt(6)+8)/(4-sqrt(x))*(2+sqrt(x))*(4/(16+x^2)+x*(4+x)^2/(256-x^4))
x^cos(1/x)*(cos(1/x)/x+log(x)*sin(1/x)/x^2)
(((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x^2-64)
Factor polynomial:
y^3-9*y
y^3+64
y^3+49+7+y^2
y^3+4^3
Factor squared:
-y^4+5*y^2-11
y^4+4*y^2-13
y^4-3*y^2-2
y^4+3*y^2+2
How do you in partial fractions?:
sqrt(1-x^2)/(1-x^2)
(p^2+7p)/(p^2+14p+49)
c^6*u^6/(c^2)^3
acos((b3^2+b4^2-b2^2)/(2*b3*b4))
How do you in partial fractions?:
(((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x^2-64)
Identical expressions
(((x- eight)/(x+ eight))-((x+ eight)*(x- eight)))/ eight *x/(x^ two - sixty-four)
(((x minus 8) divide by (x plus 8)) minus ((x plus 8) multiply by (x minus 8))) divide by 8 multiply by x divide by (x squared minus 64)
(((x minus eight) divide by (x plus eight)) minus ((x plus eight) multiply by (x minus eight))) divide by eight multiply by x divide by (x to the power of two minus sixty minus four)
(((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x2-64)
x-8/x+8-x+8*x-8/8*x/x2-64
(((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x²-64)
(((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x to the power of 2-64)
(((x-8)/(x+8))-((x+8)(x-8)))/8x/(x^2-64)
(((x-8)/(x+8))-((x+8)(x-8)))/8x/(x2-64)
x-8/x+8-x+8x-8/8x/x2-64
x-8/x+8-x+8x-8/8x/x^2-64
(((x-8) divide by (x+8))-((x+8)*(x-8))) divide by 8*x divide by (x^2-64)
Similar expressions
(((x+8)/(x+8))-((x+8)*(x-8)))/8*x/(x^2-64)
(((x-8)/(x+8))+((x+8)*(x-8)))/8*x/(x^2-64)
(((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x^2+64)
(((x-8)/(x+8))-((x+8)*(x+8)))/8*x/(x^2-64)
(((x-8)/(x-8))-((x+8)*(x-8)))/8*x/(x^2-64)
(((x-8)/(x+8))-((x-8)*(x-8)))/8*x/(x^2-64)

Expression simplification/ Least common denominator/ (((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x^2-64)

Least common denominator (((x-8)/(x+8))-((x+8)(x-8)))/8x/(x^2-64)

The solution

You have entered [src]

x - 8                    
----- - (x + 8)*(x - 8)  
x + 8                    
-----------------------*x
           8             
-------------------------
          2              
         x  - 64

$$\frac{x \frac{- \left(x - 8\right) \left(x + 8\right) + \frac{x - 8}{x + 8}}{8}}{x^{2} - 64}$$

((((x - 8)/(x + 8) - (x + 8)*(x - 8))/8)*x)/(x^2 - 64)

Fraction decomposition [src]

-1/(8 + x)^2 - x/8 + 1/(8*(8 + x))

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

     1       x       1    
- -------- - - + ---------
         2   8   8*(8 + x)
  (8 + x)

General simplification [src]

   /      2       \ 
-x*\63 + x  + 16*x/ 
--------------------
          2         
 512 + 8*x  + 128*x

$$- \frac{x \left(x^{2} + 16 x + 63\right)}{8 x^{2} + 128 x + 512}$$

-x*(63 + x^2 + 16*x)/(512 + 8*x^2 + 128*x)

Numerical answer [src]

x*(0.125*(-8.0 + x)/(8.0 + x) - 0.125*(8.0 + x)*(-8.0 + x))/(-64.0 + x^2)

x*(0.125*(-8.0 + x)/(8.0 + x) - 0.125*(8.0 + x)*(-8.0 + x))/(-64.0 + x^2)

Rational denominator [src]

  /                2         \
x*\-8 + x - (8 + x) *(-8 + x)/
------------------------------
    /       2\                
    \-64 + x /*(64 + 8*x)

$$\frac{x \left(x - \left(x - 8\right) \left(x + 8\right)^{2} - 8\right)}{\left(8 x + 64\right) \left(x^{2} - 64\right)}$$

x*(-8 + x - (8 + x)^2*(-8 + x))/((-64 + x^2)*(64 + 8*x))

Combinatorics [src]

-x*(7 + x)*(9 + x) 
-------------------
              2    
     8*(8 + x)

$$- \frac{x \left(x + 7\right) \left(x + 9\right)}{8 \left(x + 8\right)^{2}}$$

-x*(7 + x)*(9 + x)/(8*(8 + x)^2)

Common denominator [src]

  x           x         
- - + ------------------
  8            2        
      512 + 8*x  + 128*x

$$- \frac{x}{8} + \frac{x}{8 x^{2} + 128 x + 512}$$

-x/8 + x/(512 + 8*x^2 + 128*x)

Powers [src]

  /  (-8 + x)*(8 + x)     -8 + x \
x*|- ---------------- + ---------|
  \         8           8*(8 + x)/
----------------------------------
                    2             
             -64 + x

$$\frac{x \left(- \frac{\left(x - 8\right) \left(x + 8\right)}{8} + \frac{x - 8}{8 \left(x + 8\right)}\right)}{x^{2} - 64}$$

  /     x                   \
  |-1 + -                   |
  |     8   (-8 + x)*(8 + x)|
x*|------ - ----------------|
  \8 + x           8        /
-----------------------------
                  2          
           -64 + x

$$\frac{x \left(\frac{\frac{x}{8} - 1}{x + 8} - \frac{\left(x - 8\right) \left(x + 8\right)}{8}\right)}{x^{2} - 64}$$

x*((-1 + x/8)/(8 + x) - (-8 + x)*(8 + x)/8)/(-64 + x^2)

Combining rational expressions [src]

  /           2\         
x*\1 - (8 + x) /*(-8 + x)
-------------------------
     /       2\          
   8*\-64 + x /*(8 + x)

$$\frac{x \left(1 - \left(x + 8\right)^{2}\right) \left(x - 8\right)}{8 \left(x + 8\right) \left(x^{2} - 64\right)}$$

x*(1 - (8 + x)^2)*(-8 + x)/(8*(-64 + x^2)*(8 + x))

Assemble expression [src]

  /  (-8 + x)*(8 + x)     -8 + x \
x*|- ---------------- + ---------|
  \         8           8*(8 + x)/
----------------------------------
                    2             
             -64 + x

$$\frac{x \left(- \frac{\left(x - 8\right) \left(x + 8\right)}{8} + \frac{x - 8}{8 \left(x + 8\right)}\right)}{x^{2} - 64}$$

x*(-(-8 + x)*(8 + x)/8 + (-8 + x)/(8*(8 + x)))/(-64 + x^2)

Trigonometric part [src]

  /  (-8 + x)*(8 + x)     -8 + x \
x*|- ---------------- + ---------|
  \         8           8*(8 + x)/
----------------------------------
                    2             
             -64 + x

$$\frac{x \left(- \frac{\left(x - 8\right) \left(x + 8\right)}{8} + \frac{x - 8}{8 \left(x + 8\right)}\right)}{x^{2} - 64}$$

x*(-(-8 + x)*(8 + x)/8 + (-8 + x)/(8*(8 + x)))/(-64 + x^2)

Other calculators

How to use it?

Identical expressions

Similar expressions

Least common denominator (((x-8)/(x+8))-((x+8)*(x-8)))/8*x/(x^2-64)

The solution

Least common denominator (((x-8)/(x+8))-((x+8)(x-8)))/8x/(x^2-64)