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Least common denominator n^2/n-4-8*n-16/n-4

An expression to simplify:

The solution

You have entered [src]
 2                   
n              16    
-- - 4 - 8*n - -- - 4
n              n     
$$\left(\left(- 8 n + \left(-4 + \frac{n^{2}}{n}\right)\right) - \frac{16}{n}\right) - 4$$
n^2/n - 4 - 8*n - 16/n - 4
Fraction decomposition [src]
-8 - 16/n - 7*n
$$- 7 n - 8 - \frac{16}{n}$$
     16      
-8 - -- - 7*n
     n       
General simplification [src]
     16      
-8 - -- - 7*n
     n       
$$- 7 n - 8 - \frac{16}{n}$$
-8 - 16/n - 7*n
Rational denominator [src]
               2
-16 - 8*n - 7*n 
----------------
       n        
$$\frac{- 7 n^{2} - 8 n - 16}{n}$$
(-16 - 8*n - 7*n^2)/n
Numerical answer [src]
-8.0 - 16.0/n - 7.0*n
-8.0 - 16.0/n - 7.0*n
Powers [src]
     16      
-8 - -- - 7*n
     n       
$$- 7 n - 8 - \frac{16}{n}$$
-8 - 16/n - 7*n
Common denominator [src]
     16      
-8 - -- - 7*n
     n       
$$- 7 n - 8 - \frac{16}{n}$$
-8 - 16/n - 7*n
Trigonometric part [src]
     16      
-8 - -- - 7*n
     n       
$$- 7 n - 8 - \frac{16}{n}$$
-8 - 16/n - 7*n
Assemble expression [src]
     16      
-8 - -- - 7*n
     n       
$$- 7 n - 8 - \frac{16}{n}$$
-8 - 16/n - 7*n
Combining rational expressions [src]
-16 - 4*n + n*(-4 - 7*n)
------------------------
           n            
$$\frac{n \left(- 7 n - 4\right) - 4 n - 16}{n}$$
(-16 - 4*n + n*(-4 - 7*n))/n
Combinatorics [src]
 /        2      \ 
-\16 + 7*n  + 8*n/ 
-------------------
         n         
$$- \frac{7 n^{2} + 8 n + 16}{n}$$
-(16 + 7*n^2 + 8*n)/n