anonymous
  • anonymous
Simplify and identify the domain.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1433117123881:dw|
mathslover
  • mathslover
You need to first factorize the denominator. Can you do it?
anonymous
  • anonymous
i barley started to learn this, so would you mind leading me through it

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More answers

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

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