Hayhayz
  • Hayhayz
http://prntscr.com/9fio2y
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Hayhayz
  • Hayhayz
@malcolmmcswain okay here just like that lol
malcolmmcswain
  • malcolmmcswain
Our first step is to factor 8x^2+26x+15
malcolmmcswain
  • malcolmmcswain
Do you know how to do that?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Hayhayz
  • Hayhayz
nah mal i dont remember im the worst at math ☺
malcolmmcswain
  • 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
  • malcolmmcswain
Insert the factorization into the equation and you get: http://prntscr.com/9firgg
malcolmmcswain
  • malcolmmcswain
You follow me so far?
malcolmmcswain
  • malcolmmcswain
@Hayhayz
Hayhayz
  • Hayhayz
yeah i was just writing it down so i could have an example for similar problem :)
malcolmmcswain
  • malcolmmcswain
Ok. Now, we need to find the LCD of http://prntscr.com/9firgg Give it a shot... what do you think?
Hayhayz
  • Hayhayz
Uhh how do i find LCD again haha
malcolmmcswain
  • malcolmmcswain
LCD = Least Common Denominator What do the denominators of the two fractions have in common?
Hayhayz
  • Hayhayz
4x+3
malcolmmcswain
  • malcolmmcswain
Ok, so what do we need to do to make the denominators the same?
Hayhayz
  • Hayhayz
factor out the 2x+5???
malcolmmcswain
  • malcolmmcswain
No, the opposite. Just multiply both the numerator and the denominator by 2x+5.
Hayhayz
  • Hayhayz
oh
malcolmmcswain
  • malcolmmcswain
So, you will get, hold on, let me see if I can write this out in desmos.
malcolmmcswain
  • malcolmmcswain
There: http://prntscr.com/9fiv9n
Hayhayz
  • Hayhayz
then dont you cancel out the 2x+5 in the first one
malcolmmcswain
  • malcolmmcswain
No lol because you did that on purpose to get the denominators the same.
Hayhayz
  • Hayhayz
oh right. i was thinkin about a different lesson where u gotta do that .-.
malcolmmcswain
  • malcolmmcswain
Now that our denominators are the same, combine.
malcolmmcswain
  • malcolmmcswain
Struggling?
Hayhayz
  • Hayhayz
yes .-. all the answers have a 6 in the numerator how do you get that
malcolmmcswain
  • malcolmmcswain
http://prntscr.com/9fiy27 Look, just add the two numerators and combine the two denominators to get: http://prntscr.com/9fiy9n
Hayhayz
  • Hayhayz
alright
malcolmmcswain
  • malcolmmcswain
We're not done.
Hayhayz
  • Hayhayz
i see
malcolmmcswain
  • malcolmmcswain
Our last step is to expand the 3(2x+5)+21 numerator.
malcolmmcswain
  • malcolmmcswain
Go ahead and give that a shot.
Hayhayz
  • Hayhayz
okay so thats how you get the 6. 6(x +15) +21 lol umm
malcolmmcswain
  • malcolmmcswain
Where are your parentheses coming from? It's just 6x+15+21. Now, refine that.
Hayhayz
  • Hayhayz
6x+36
Hayhayz
  • Hayhayz
36/6=6*****
malcolmmcswain
  • malcolmmcswain
Correct :D So, our final, simplifed equation is \[\frac{ 6x+36 }{ (4x+3)(2x+5) }\] We're done.
Hayhayz
  • Hayhayz
6x+36 in the numerator isnt a choice tho
malcolmmcswain
  • 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
  • malcolmmcswain
wait, what?
Hayhayz
  • Hayhayz
lol i divided it to get 6 cuz there isnt a choice with 36 in the numerator
malcolmmcswain
  • malcolmmcswain
...
Hayhayz
  • Hayhayz
soooo what do we do lol
malcolmmcswain
  • malcolmmcswain
Oh I figured it out... they didn't distribute LOL
Hayhayz
  • Hayhayz
ahh okay
malcolmmcswain
  • malcolmmcswain
So, the answer is C
malcolmmcswain
  • malcolmmcswain
:)
Hayhayz
  • Hayhayz
why is it (2x-5) i thought it was 2x+5) o.0
malcolmmcswain
  • malcolmmcswain
OMG sorry I meant D
Hayhayz
  • Hayhayz
hahahaha its all good thank you mal :)
malcolmmcswain
  • malcolmmcswain
No prob lol
Hayhayz
  • Hayhayz
now to do like 45 more haha ill let you know if i need help
malcolmmcswain
  • malcolmmcswain
Ok. ^-^

Looking for something else?

Not the answer you are looking for? Search for more explanations.