Question

http://prntscr.com/9fio2y

Answer 1

@malcolmmcswain okay here just like that lol

Answer 2

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

Answer 3

Do you know how to do that?

Answer 4

nah mal i dont remember im the worst at math ☺

Answer 5

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

Answer 6

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

Answer 7

You follow me so far?

Answer 8

@Hayhayz

Answer 9

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

Answer 10

Ok. Now, we need to find the LCD of http://prntscr.com/9firgg

Give it a shot... what do you think?

Answer 11

Uhh how do i find LCD again haha

Answer 12

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

Answer 13

4x+3

Answer 14

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

Answer 15

factor out the 2x+5???

Answer 16

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

Answer 17

oh

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

Now that our denominators are the same, combine.

Answer 24

Struggling?

Answer 25

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

Answer 26

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

Answer 27

alright

Answer 28

We're not done.

Answer 29

i see

Answer 30

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

Answer 31

Go ahead and give that a shot.

Answer 32

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

Answer 33

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

Answer 34

6x+36

Answer 35

36/6=6*****

Answer 36

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

Answer 37

6x+36 in the numerator isnt a choice tho

Answer 38

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

Answer 39

wait, what?

Answer 40

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

Answer 41

...

Answer 42

soooo what do we do lol

Answer 43

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

Answer 44

ahh okay

Answer 45

So, the answer is C

Answer 46

:)

Answer 47

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

Answer 48

OMG sorry I meant D

Answer 49

hahahaha its all good thank you mal :)

Answer 50

No prob lol

Answer 51

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

Answer 52

Ok. ^-^