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How do you ((y-9)/(y-8))*((y^2-64)/(y^2-16*y+64)) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
          2         
y - 9    y  - 64    
-----*--------------
y - 8  2            
      y  - 16*y + 64
$$\frac{y - 9}{y - 8} \frac{y^{2} - 64}{\left(y^{2} - 16 y\right) + 64}$$
((y - 9)/(y - 8))*((y^2 - 64)/(y^2 - 16*y + 64))
Fraction decomposition [src]
1 - 16/(-8 + y)^2 + 15/(-8 + y)
$$1 + \frac{15}{y - 8} - \frac{16}{\left(y - 8\right)^{2}}$$
        16        15  
1 - --------- + ------
            2   -8 + y
    (-8 + y)          
General simplification [src]
        2     
 -72 + y  - y 
--------------
      2       
64 + y  - 16*y
$$\frac{y^{2} - y - 72}{y^{2} - 16 y + 64}$$
(-72 + y^2 - y)/(64 + y^2 - 16*y)
Powers [src]
   /       2\            
   \-64 + y /*(-9 + y)   
-------------------------
         /      2       \
(-8 + y)*\64 + y  - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))
Combinatorics [src]
(-9 + y)*(8 + y)
----------------
           2    
   (-8 + y)     
$$\frac{\left(y - 9\right) \left(y + 8\right)}{\left(y - 8\right)^{2}}$$
(-9 + y)*(8 + y)/(-8 + y)^2
Common denominator [src]
     -136 + 15*y  
1 + --------------
          2       
    64 + y  - 16*y
$$\frac{15 y - 136}{y^{2} - 16 y + 64} + 1$$
1 + (-136 + 15*y)/(64 + y^2 - 16*y)
Combining rational expressions [src]
    /       2\             
    \-64 + y /*(-9 + y)    
---------------------------
(-8 + y)*(64 + y*(-16 + y))
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y \left(y - 16\right) + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y*(-16 + y)))
Numerical answer [src]
(-64.0 + y^2)*(-9.0 + y)/((-8.0 + y)*(64.0 + y^2 - 16.0*y))
(-64.0 + y^2)*(-9.0 + y)/((-8.0 + y)*(64.0 + y^2 - 16.0*y))
Assemble expression [src]
   /       2\            
   \-64 + y /*(-9 + y)   
-------------------------
         /      2       \
(-8 + y)*\64 + y  - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))
Rational denominator [src]
   /       2\            
   \-64 + y /*(-9 + y)   
-------------------------
         /      2       \
(-8 + y)*\64 + y  - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))
Trigonometric part [src]
   /       2\            
   \-64 + y /*(-9 + y)   
-------------------------
         /      2       \
(-8 + y)*\64 + y  - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))