Question

*** I will give you a medal if you help/answer ***
Simplify the sum. State any restrictions on the variables.
(x-2)/(x+3) + (10x)/(x^2-9)

Answer 1

@tkhunny

Answer 2

It should be realatively obvious after you factor the right-side denominator.

Answer 3

do I switch it to multiplication and the recep after i factor it

Answer 4

?? Y ou first look at it and decide what will make the denominator zero. This will be the restrictions.

After that, just add like any other fractions.

Answer 5

i don't know how... okay i factored.. and i got (x+3)(x-3) and that cancels out the (x+3)'s .. now what do i do ?

Answer 6

I learn step by step... soo could you go through it with me?

Answer 7

Here's a plan. Never use he word "cancel" again, unless you are talking about your CableTV Service.

\(\dfrac{x-2}{x+3} + \dfrac{10x}{x^{2} - 9} = \dfrac{x-2}{x+3} + \dfrac{10x}{(x+3)(x-3)}\)

Answer 8

okay.

Answer 9

You need to remember how to add fractions. Common denominator?

\(\dfrac{x-2}{x+3} + \dfrac{10x}{x^{2} - 9} = \dfrac{x-2}{x+3} + \dfrac{10x}{(x+3)(x-3)}= \dfrac{x-2}{x+3}\cdot\dfrac{x-3}{x-3} + \dfrac{10x}{(x+3)(x-3)}\)

That is required to look VERY familiar.

Answer 10

okayy now what ???

Answer 11

We have common denominator. What shall we do next?

Who told you that you learn "step-by-step"? That's kind of silly. Thinking that prevents you from learning other ways.

Think back a few years. How did you add \(\dfrac{1}{3} + \dfrac{5}{6}\)?

Answer 12

I don't remember.. I honestly don't which is why I got on here to get help because my teachers teach me a pelletty as way and it's something I just can't follow. I'm sorry :(

Answer 13

pelletty way *

Answer 14

what the heck.. it wont let me say s h i t t y

Answer 15

Good. If you start talking that way you have to stop talking to me.

If you cannot add 1/3 and 5/6, you cannot do this problem. No offense intended, it's just the way it is.

Answer 16

cool. glad your going to help me.. isn't that what this site is for?

Answer 17

Show me that you can add 1/3 ad 5/6 and we can talk. Some of the help you need seems to be a little reality therapy. I am quite happy to help you. I am not happy to waste your time if you do not have the necessary prerequisites to advance through the material.

Answer 18

obviously @jim_thompson5910 i need you to help me .

Answer 19

Seriously, just add 1/3 and 5/6. It is not much to ask.

Answer 20

@jim_thompson5910

Answer 21

i don't know how !!!!

Answer 22

you already found that

(x-2)/(x+3) + (10x)/(x^2-9)

(x-2)/(x+3) + (10x)/((x+3)(x-3))


So the LCD is (x+3)(x-3)

Answer 23

you need that first fraction to have the same denominator in order to add the two fractions

Answer 24

how do we do this

Answer 25

okayy. you multiply everything by the LCD to cancel out the fractions.

Answer 26

well you can only use that trick when you have an equals sign

Answer 27

but we don't have that here, so we just have to add the fractions like normal

Answer 28

ohh okay.

Answer 29

what is the first denominator missing to get it equal to the LCD

Answer 30

the (x-3)

Answer 31

so you need to multiply top and bottom of the first fraction by (x-3)