Question

need help simplifying
X+7 6
------ + ------
2x+12 x^2-36

Answer 1

so far ive got
x+7 6
---- + ----
2(x+6) (x+6)(x-6)

Answer 2

try finding a common denominator to start.

Answer 3

you could also try cross multiplying because it looks like a proportion

Answer 4

i need the denominators to be the same

Answer 5

@tyler123456789 try using @Kkutie7 's way

Answer 6

how do i find the common denominator

Answer 7

Factor

Answer 8

so.... multiply x-6 to both numerator and denominator on the left side and 2 on the left?

Answer 9

Yup, show me what you get

Answer 10

let's take a peek at the denominators
2x+12

can you get a common factor off that?

Answer 11

just that one expression

Answer 12

@jdoe0001 he already factored them

Answer 13

ohh, ok,

what about \(\bf x^2-36\)
keep in mind that \(\bf (a-b)(a+b) = (a^2-b^2)\)

Answer 14

@jdoe0001 all under his question

Answer 15

im confused
so when i multiply both i get
x+7(x-6) 6(2)
--------- + --------
2(x+6)(x-6) 2(x+6)(x-6)

Answer 16

\(\bf \cfrac{x+7}{2x+12}+\cfrac{6}{x^2-36}\\
\cfrac{x+7}{2(x+6)}+\cfrac{6}{(x+6)(x-6)}\)

Answer 17

the LCD will be really the 2nd denominator

Answer 18

Good now multiply the top and continue with the needed operation

Answer 19

\(\bf \cfrac{x+7}{2(x+6)}+\cfrac{6}{(x+6)(x-6)} \implies \cfrac{\square?+\square?}{(x+6)(x-6)}\)

Answer 20

x^2 + x - 30
------------
2(x+6)(x-6)

Answer 21

maybe I needed the 2 as well :/

Answer 22

@tyler123456789 there you, that's it

Answer 23

Now factor that.

Answer 24

i dont understand, how?

Answer 25

nothing sums to 1 and multiplies to 30

Answer 26

oh wait
(x+6)(x-5)
---------
2(x+6)(x-6)

Answer 27

\[\frac{(x+6)(x-5)}{2(x+6)(x+6)}\]

Answer 28

*(x-6)

And correct, now cancel common factors

Answer 29

si i get x-5
-----
2x-12

Answer 30

Yup!

Answer 31

thank you so much

Answer 32

No problem :)

Answer 33

new fan