Simplify and identify the domain.

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Simplify and identify the domain.

Mathematics
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|dw:1433117123881:dw|
You need to first factorize the denominator. Can you do it?
i barley started to learn this, so would you mind leading me through it

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Other answers:

i will post the answer choices!
Yeah, sure! No problem! See : I've denominator as : \((4x + 8).(x^2 - 9) \) I'll factorize both of them separately. \(4x + 8\) can be written as : \(4(x+2)\) ; Notice what I did... I just took 4 common from both the terms and I was left with (x+2). Clear with this part?
|dw:1433124883261:dw|
|dw:1433125682747:dw|
the last choice should have a parenthesis at the end
are you there? @jagr2713
Let's factor 4x + 8. What is the biggest number that goes into both 4 and 8?
that divides into both of them? 4
|dw:1433127777689:dw|
|dw:1433127898204:dw|
im kinda confused?
have you done factoring yet in school?
I'm only asking you to reduce the 2 fractions inside the parentheses right now
do you know how to put 4/4 in lowest terms?
not really!! and not i barley started learning to factor!
the question you posted is relatively advanced algebra. I'm not really sure how to help you if you aren't even familiar with the basic stuff. :(
well it is a worksheet that we are suppose to get help with to start becoming familiar with this topic!
@peachpi can you just try to walk through it with me? please!!
|dw:1433128688437:dw|
does that make sense?
oh okay so the cancel out!
yes. now to factor x² - 9. There is no common factor, so we have to use another rule. What number times itself is 9?
in other words, what's the square root of 9?
3
this rule is called a difference of squares. x² - 9 = (x - 3)(x + 3)
okay!
so then it whould equal to zero?
so 3 and -3?
yes. but you also have to do 4x+8 = 0
ok
how do i do that one?
start by subtracting 8 from both sides
|dw:1433129376428:dw|
4x=-8
how do you get x by itself from there?
|dw:1433129414498:dw|
|dw:1433129573453:dw|
|dw:1433129604736:dw|
|dw:1433129767322:dw|
so your answers for the exclusions \[x \neq -3, -2, 3\]
okay!
now let's get back to the simplifying part. I'm going to rewrite the expression to show the factoring
so as of now the possible answers are b and d! correct?
yes
okay!
|dw:1433130093957:dw|
|dw:1433130238835:dw| is this right?
|dw:1433130292264:dw|
is my simplifying correct?
that's right :)
so b?
yes

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