Question

1( u-v/8v) + (6u - 3v/ 8v)

2)(m - 3n/ 6m^3 n) - (m + 3n/6m^3 n)

3) (6/ x - 1) - (5x /4)

4. (3/ x + 7) + (4/ x - 8)

5. (7/3) - (8 / 12x - 8)

6. (2x/ 5x -4) + (6x/ 2x +3)

Answer 1

What are we to do?

Answer 2

Add or Subtract. Show work for problems you have to find the LCD.

Answer 3

@uri Please take care of these.

Answer 4

on the first problem the LCD = 8V

Answer 5

I think she posted like 6 Questions together.
Hey,@_1kjazz,Welcome to Openstudy,Please post on Question at a time,Edit it and remove the other 5,1 question 1 thread,thanks.

Answer 6

so you have

u-v 6u - 3v
----- + ------
8V 8V

Answer 7

@uri Please let it slide. I think she needs them urgently.

Answer 8

@primeralph i do! @uri im sorry im kinda new to this @ivettef365 yes that is correct

Answer 9

@ganeshie8 Could you help here? I got to go.

Answer 10

ok you add as if it was a common fraction so you have

u - v + 6u - 3v
---------------
8v

Answer 11

now, combine like terms so you have
7u -4v
-------
8v

Answer 12

the next problem is similar, since you have a common denominator
can you do it by yourself ??

Answer 13

the only difference now is that you are subtracting instead of adding

Answer 14

@ivettef365 yes i can do it im still confused on the other ones though

Answer 15

ok, do #2, tell me what you got for answer and I will explain #3 in the meantime

Answer 16

you have the following

6 5x 6(4) -5x(x-1)
----- - ------ = -------------
x-1 4 4(x-1)

Answer 17

common denominator would be 4(x-1)
do you understand what I did

Answer 18

worked on number 2 i got -6/6m^3n i dont think its correct though

Answer 19

#2

m - 3n m + 3n m - 3n -m - 3n
-------- - ---------- = -----------------
6m^3n 6m^3n 6m^3n

Answer 20

yes, you got it right

Answer 21

but it should be -6n

Answer 22

-6n/6m^3n

Answer 23

and you can simplify even more you have

-6n -1
------- = ----------
6m^3n m^3

Answer 24

i think im getting it could we move on to number 4

Answer 25

sure, #4 would be set up like this

3 4 3(x-8) + 4(x+7)
------- + ------- = _________________________
x+7 x-8 (x+7)(x-8)

Answer 26

would that be the final answer

Answer 27

I meant

3x - 24 + 4x + 28
----------------
(x+7)(x-8)

Answer 28

then just solve from there ?

Answer 29

right, so you have

7x + 4
--------- there is nothing else you can do on this one
(x+7)(x-8)

Answer 30

cool beans could we do i now

Answer 31

5

Answer 32

now you have

7 8 7(12x-8) + 8(3)
------- - -------- = ----------------
3 12x-8 3(12x-8)

Answer 33

now you have

84x -56 - 24
-------------
36x-24

Answer 34

do you see what I did, on the top should be 7(12x-8) - 8 (3)

Answer 35

I put + by mistake, do you see it

Answer 36

yes i do

Answer 37

ok now you have

84x - 80
--------
36x -24

Answer 38

now you can simplify even more, you have

4(21x - 20) 21x-20
---------- = ----------
4(9x - 6) 9x - 6

Answer 39

alright ithink im getting this

Answer 40

ok, try to do 6

Answer 41

2x(2x+3) 6x(5x-4)
___________ + _____________
5x-4 2x+3

Answer 42

2x(2x+3)+6x(5x-4)

---------------------
(5x-4)(2x+3)

Answer 43

4x^2+6x+30x^2-24x
______________________
(5x-4)(2x+3)

Answer 44

-18x + 34x2
______________________
(5x-4)(2x+3)

Answer 45

is this the correct final answer ?

Answer 46

@ivettef365 ?

Answer 47

Im doing it, give me a minute

Answer 48

that is what I get

Answer 49

let me see if it could be simplify more

Answer 50

okay :)

Answer 51

no, it can not be simplify any further, that is good

Answer 52

thanks would you be willing to help me with multiplication ?

Answer 53

sure

Answer 54

1. (x + 3)/4) * 3(x -6)/ 3(x + 3)

2. (x + 8)/(x +6)(x -8) * 4x(x + 10)/( x + 10)

3. (28 - 7b)/ (b -4) * (1/ ( b + 10)

4. (1 / n+ 9) * (3n - 18)/ ( 6 - n)

5. ( 2b2 - 12b)/ ( b + 5) * ( b + 5)/ ( b - 6)

Answer 55

ok, multiplication is easier than adding so you have

x + 3 3(x-6)
---------- x -----------
4 3(x + 3)

Answer 56

now do you see what numbers you can cancel, whatever is the same on the top and the bottom you can cancel, therefore you have x + 3, on top and bottom, and you have
a "3" on top by itself and a "3" on bottom by itself
do you see it

Answer 57

yes i think im starting to get it

Answer 58

ok so when you eliminate from top and bottom then you have

1 x-6
------- x ----------
4 1

Answer 59

you see I put a 1 on the numbers eliminated the reason why is because when you have

3
--- = 1
3

Answer 60

so the same number on top and bottom is going to be = 1

Answer 61

so now you can multiply and you have

x - 6
--------
4

Answer 62

final answer ?

Answer 63

yes

Answer 64

2 ?

Answer 65

are you sure problem 2 is written correctly ??

Answer 66

yes

Answer 67

ok, lets skip that to the end, the others are easy, so lets do #3

Answer 68

you have

28 - 7b 1
------- x --------
b - 4 b+10

Answer 69

you can write this problem as follows:

-7(b-4) 1
-------- x -------- (do you see how I convert 28 - 7b)
b-4 b+10

Answer 70

yes it looks like you broke it down

Answer 71

right that is the same when you multiply -7(b-4) = -7b+28 = 28 -7b

Answer 72

now which numbers can you elimiate

Answer 73

b-4,cause there the same right ?

Answer 74

right so what do you get

Answer 75

well i didnt do much after that all i knew was to cross out b-4

Answer 76

ok, so you cross b-4, now what do you get when you multiply ??

Answer 77

you have left the following

-7 1
------ x ------- = ??
1 b+10

Answer 78

will i have -7/b+10

Answer 79

good job

Answer 80

could we go to the next one ?

Answer 81

ok, the next one you have

1 3n-18
------ x ----------
n+9 6-n

Answer 82

now 3n -18 = -3(6-n) (do you see it)

Answer 83

um no im not understanding

Answer 84

how would you multiply -3(6-n)

Answer 85

i would distribute it would be -18+3n

Answer 86

good, so that is the same as 3n-18 right

Answer 87

now you have

1 -3(6-n)
------- x ----------
n+9 6-n

Answer 88

what can you eliminate ??

Answer 89

6-n

Answer 90

ok so what do you have left

Answer 91

1 -3(1)
_____ * _____
n+9 1

Answer 92

good job, now what is the answer

Answer 93

-3
_____
n+9

Answer 94

very good, you want to try doing the last one

Answer 95

umm sure

Answer 96

( 2b2 - 12b) ( b + 5)
____________ *_________ =
(b+5) (b-6)

Answer 97

( 2b2 - 12b) 1
____________ *_________ =
1 (b-6)