http://prntscr.com/9fio2y

- Hayhayz

http://prntscr.com/9fio2y

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- chestercat

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- Hayhayz

@malcolmmcswain okay here just like that lol

- malcolmmcswain

Our first step is to factor 8x^2+26x+15

- malcolmmcswain

Do you know how to do that?

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## More answers

- Hayhayz

nah mal i dont remember im the worst at math ☺

- malcolmmcswain

First, break the expression into groups.
(8x^2+6x)+(20x+15)
Next, factor out 2x from the first group.
2x(4x+3)+(20x+15)
Then, factor out 5 from the second group.
=2x(4x+3)+5(4x+3)
Finally, factor out (4x+3)
=(4x+3)(2x+5)
And, it's factored. Sorry that took so long... I will speed up my explanations. :P

- malcolmmcswain

Insert the factorization into the equation and you get:
http://prntscr.com/9firgg

- malcolmmcswain

You follow me so far?

- malcolmmcswain

@Hayhayz

- Hayhayz

yeah i was just writing it down so i could have an example for similar problem :)

- malcolmmcswain

Ok. Now, we need to find the LCD of http://prntscr.com/9firgg
Give it a shot... what do you think?

- Hayhayz

Uhh how do i find LCD again haha

- malcolmmcswain

LCD = Least Common Denominator
What do the denominators of the two fractions have in common?

- Hayhayz

4x+3

- malcolmmcswain

Ok, so what do we need to do to make the denominators the same?

- Hayhayz

factor out the 2x+5???

- malcolmmcswain

No, the opposite. Just multiply both the numerator and the denominator by 2x+5.

- Hayhayz

oh

- malcolmmcswain

So, you will get, hold on, let me see if I can write this out in desmos.

- malcolmmcswain

There: http://prntscr.com/9fiv9n

- Hayhayz

then dont you cancel out the 2x+5 in the first one

- malcolmmcswain

No lol because you did that on purpose to get the denominators the same.

- Hayhayz

oh right. i was thinkin about a different lesson where u gotta do that .-.

- malcolmmcswain

Now that our denominators are the same, combine.

- malcolmmcswain

Struggling?

- Hayhayz

yes .-. all the answers have a 6 in the numerator how do you get that

- malcolmmcswain

http://prntscr.com/9fiy27
Look, just add the two numerators and combine the two denominators to get:
http://prntscr.com/9fiy9n

- Hayhayz

alright

- malcolmmcswain

We're not done.

- Hayhayz

i see

- malcolmmcswain

Our last step is to expand the 3(2x+5)+21 numerator.

- malcolmmcswain

Go ahead and give that a shot.

- Hayhayz

okay so thats how you get the 6. 6(x +15) +21 lol umm

- malcolmmcswain

Where are your parentheses coming from? It's just 6x+15+21. Now, refine that.

- Hayhayz

6x+36

- Hayhayz

36/6=6*****

- malcolmmcswain

Correct :D
So, our final, simplifed equation is
\[\frac{ 6x+36 }{ (4x+3)(2x+5) }\]
We're done.

- Hayhayz

6x+36 in the numerator isnt a choice tho

- malcolmmcswain

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Hayhayz
36/6 + 6
36/6=6*****
\(\color{#0cbb34}{\text{End of Quote}}\)
What is all this gibberish? You had

- malcolmmcswain

wait, what?

- Hayhayz

lol i divided it to get 6 cuz there isnt a choice with 36 in the numerator

- malcolmmcswain

...

- Hayhayz

soooo what do we do lol

- malcolmmcswain

Oh I figured it out... they didn't distribute LOL

- Hayhayz

ahh okay

- malcolmmcswain

So, the answer is C

- malcolmmcswain

:)

- Hayhayz

why is it (2x-5) i thought it was 2x+5) o.0

- malcolmmcswain

OMG sorry I meant D

- Hayhayz

hahahaha its all good thank you mal :)

- malcolmmcswain

No prob lol

- Hayhayz

now to do like 45 more haha ill let you know if i need help

- malcolmmcswain

Ok. ^-^

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