Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Spartan_Of_Ares
Group Title
can some one help me add these rational expressions?
 one year ago
 one year ago
Spartan_Of_Ares Group Title
can some one help me add these rational expressions?
 one year ago
 one year ago

This Question is Closed

math>philosophy Group TitleBest ResponseYou've already chosen the best response.0
Ok
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
dw:1356272011895:dw
 one year ago

math>philosophy Group TitleBest ResponseYou've already chosen the best response.0
Find a common denominator
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
x^2+6?
 one year ago

math>philosophy Group TitleBest ResponseYou've already chosen the best response.0
I think you need to either review the distributive property or learn FOIL method
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
\[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\] use \(a=8,b=x+2,c=4,d=x+3\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
use parentheses and make a direct substitution
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
wait so i cross multiply?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
there is no such thing as "cross multiply" to add fractions, you compute \[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\] that is how it is always done in this case \(a=8\) so replace \(a\) by \(8\) \(b=x+2\) so replace \(b\) by \(x+2\) \(c=4\) replace \(c\) by \(4\) and \(d=x+3\) replace \(d\) by \(x+3\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
\[\frac{\overbrace{8}^a\times \overbrace{(x+3)}^d+\overbrace{(x+2)}^b\times \overbrace{4}^c}{\overbrace{(x+2)}^b\times \overbrace{(x+3)}^d}\]
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
do i combine the denominators?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
you have a choice, you can either leave it in factored form as \[(x+2)(x+3)\] or you can multiply out using the distributive law \[(x+2)(x+3)=x^2+2x+3x+6=x^2+5x+6\] your choice
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
your real job is to use the distributive property in the numerator, and then combine like terms, because no one want to look at \[8(x+3)+4(x+2)\]
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
well to get a final answer i would need to use \[x ^{2}5x+6\] wouldnt I?
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
so 8x+24 + 4x+8 = 12x+32 ?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
your numerator is correct, i would be \(12x+3 2\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
and your denominator is \(x^2+5x+6\)
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
would i have any restrictions?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
yes, the same restrictions you had to begin with the denominator cannot be zero, so you know \(x\neq 2\) and also \(x\neq 3\)
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
so it cant be the 2 and 3 from the original denominators?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
it cannot be \(2\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
one denominator is \(x+2\) so if \(x=2\) then you get \(2+2=0\) and the denominator cannot be 0
 one year ago

Spartan_Of_Ares Group TitleBest ResponseYou've already chosen the best response.0
ok that makes sense thanks :)
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.