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Least common denominator m+2/m^2*m-3*m^2/m+2

An expression to simplify:

The solution

You have entered [src]
              2    
    2      3*m     
m + --*m - ---- + 2
     2      m      
    m              
$$\left(\left(m \frac{2}{m^{2}} + m\right) - \frac{3 m^{2}}{m}\right) + 2$$
m + (2/m^2)*m - 3*m^2/m + 2
Fraction decomposition [src]
2 - 2*m + 2/m
$$- 2 m + 2 + \frac{2}{m}$$
          2
2 - 2*m + -
          m
General simplification [src]
          2
2 - 2*m + -
          m
$$- 2 m + 2 + \frac{2}{m}$$
2 - 2*m + 2/m
Combinatorics [src]
   /      2    \
-2*\-1 + m  - m/
----------------
       m        
$$- \frac{2 \left(m^{2} - m - 1\right)}{m}$$
-2*(-1 + m^2 - m)/m
Combining rational expressions [src]
  /         2\
2*\1 + m - m /
--------------
      m       
$$\frac{2 \left(- m^{2} + m + 1\right)}{m}$$
2*(1 + m - m^2)/m
Numerical answer [src]
2.0 + 2.0/m - 2.0*m
2.0 + 2.0/m - 2.0*m
Rational denominator [src]
     4      3     / 3      \
- 3*m  + 2*m  + m*\m  + 2*m/
----------------------------
              3             
             m              
$$\frac{- 3 m^{4} + 2 m^{3} + m \left(m^{3} + 2 m\right)}{m^{3}}$$
(-3*m^4 + 2*m^3 + m*(m^3 + 2*m))/m^3
Trigonometric part [src]
          2
2 - 2*m + -
          m
$$- 2 m + 2 + \frac{2}{m}$$
2 - 2*m + 2/m
Assemble expression [src]
          2
2 - 2*m + -
          m
$$- 2 m + 2 + \frac{2}{m}$$
2 - 2*m + 2/m
Common denominator [src]
          2
2 - 2*m + -
          m
$$- 2 m + 2 + \frac{2}{m}$$
2 - 2*m + 2/m
Powers [src]
          2
2 - 2*m + -
          m
$$- 2 m + 2 + \frac{2}{m}$$
2 - 2*m + 2/m