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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

i will post the answer choices!

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|dw:1433125682747:dw|

the last choice should have a parenthesis at the end

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!

|dw:1433128688437:dw|

does that make sense?

oh okay so the cancel out!

in other words, what's the square root of 9?

this rule is called a difference of squares.
xÂ² - 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!

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