Perform the operation

Question

c+8/c^2-5c+4  +  3c+5/c^2-9c+20 

Answer 1

Paula, did you leave out some parentheses?:

 

(c+8)/(c^2-5c+4) + (3c+5)/(c^2-9c+20) =

 

(c+8)/((c-1)(c-4)) + (3c+5)/((c-4)(c-5)) =

 

(c+8)(c-5)/((c-1)(c-4)(c-5)) + (3c+5)(c-1)/((c-1)(c-4)(c-5)) =

 

((c+8)(c-5) + (3c+5)(c-1))/((c-1)(c-4)(c-5)) =

 

(c^2+3c-40 + 3c^2+2c-5)/((c-1)(c-4)(c-5)) =

 

(4c^2+5c-45)/((c-1)(c-4)(c-5))

 

 

 

Answer 2

Perform the operation
c+8/c²-5c+4 + 3c+5/c²-9c+20

 

c + (8/c²) - 5c + 4 + 3c + (5/c²) - 9c + 20

 

Gather like terms:

 

(c - 5c + 3c - 9c) + (8/c² + 5/c²) + (4 + 20)

 

Add & subtract like terms:

 

(-10c) + (13/c²) + (24)