SOLUTION: c/c+1 minus 4/c+4 plus 3/cē+5c+4

Algebra ->  College  -> Linear Algebra -> SOLUTION: c/c+1 minus 4/c+4 plus 3/cē+5c+4       Log On


   



Question 119188:
c/c+1 minus 4/c+4 plus 3/cē+5c+4

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
c/c+1 minus 4/c+4 plus 3/cē+5c+4
-----------
lcm = (c+1)(c+4)
-------------
Rewrite each fraction with the lcm as its denominator
= c(c+4)/lcm - 4(c+1)/lcm + 3/lcm
---------------
Combine the numerators to get:
= [c^2+4c-4c-4+3]/lcm
= [c^2-1]/[4(c+1)(c+4)]
= [c-1]/[4(c+4)]
==========
Cheers,
Stan H.