SOLUTION: 4m+30 over m+5 added to m^2+8m+5 over m+5. i combined the numoraters to get 4m+30+m^2+8m+5 over m+5. i don't know if thats right or not and i don't get how to solve the rest to ge

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 4m+30 over m+5 added to m^2+8m+5 over m+5. i combined the numoraters to get 4m+30+m^2+8m+5 over m+5. i don't know if thats right or not and i don't get how to solve the rest to ge      Log On


   

Question 198972: 4m+30 over m+5 added to m^2+8m+5 over m+5.
i combined the numoraters to get 4m+30+m^2+8m+5 over m+5. i don't know if thats right or not and i don't get how to solve the rest to get the complete answer. can you help me please?
Found 2 solutions by Earlsdon, scott8148:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28%284m%2B30%29%2F%28m%2B5%29%29%2B%28%28m%5E2%2B8m%2B5%29%2F%28m%2B5%29%29 Since the two fractions are already over a common denominator %28m%2B5%29 you can simply add the numerators, as you suggested, to get:
%28m%5E2%2B%284m%2B8m%29%2B%2830%2B5%29%29%2F%28m%2B5%29 Simplify the numerator:
%28m%5E2%2B12m%2B35%29%2F%28m%2B5%29 Now factor the numerator.
%28m%2B7%29cross%28%28m%2B5%29%29%2Fcross%28%28m%2B5%29%29 Cancel the indicated factors to leave you with...
highlight%28m%2B7%29

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
good so far...

combining terms ___ m^2+12m+35 / m+5

factoring the numerator ___ (m+7)(m+5) / m+5

"cancelling" the (m+5)'s, leaves m+7 as the answer