Question

Simplify:

Answer 1

\[\frac{ 3}{ x ^{2}-x-6 }+ \frac{ 2 }{ x ^{2}+6x+5 }\]

Answer 2

what have you tried?

Answer 3

Well I got something but it wasnt right!

Answer 4

could you properly factorize x^2- x-6 ??
and x^2+6x+5 ?

what did u get?

Answer 5

\[\frac{ (x+3)(5x+1) }{ (x+1)(x+2)(x+5)(x-3) }\]

Answer 6

your denominator is correct,
lets check the numerator

Answer 7

3(x+5)(x+1) + 2(x-3)(x+2)

Answer 8

yep, your numerator is also correct...
why u say its incorrect?

Answer 9

hold on let me show you why.

Answer 10

http://www.wolframalpha.com/input/?i=%5Cfrac%7B+3%7D%7B+x+%5E%7B2%7D-x-6+%7D%2B+%5Cfrac%7B+2+%7D%7B+x+%5E%7B2%7D%2B6x%2B5+%7D

Answer 11

multiply the numerator out

Answer 12

you'll get 5x^2 +16x+3

Answer 13

hmm so i just gotta multiply it out more. ok

Answer 14

yes

Answer 15

gotcha