Question

Please help!!! Will fan and medal!!!

Question attached in comments!!!!

Answer 1

so..hmm ok.. what's the LCD?

Answer 2

5?

Answer 3

hmm have you covered sum of fractions or rationals yet?

Answer 4

I can add these generally but not subtract..

Answer 5

well, adding and subtracting is pretty much the same thing
if you think of

2 - 3 is really 2 + (-3)

Answer 6

same as last time. because the bottoms are the same focus on the top

Answer 7

all you are going to focus on is 4d-20

Answer 8

can you simplify 4d-20 at all?

Answer 9

Uhm... -16d???

Answer 10

nope. you cat because its not equal to anything

Answer 11

Need to factor the bottom

Answer 12

i agree

Answer 13

not yet actually.

Answer 14

you combine the tops and then figure out what to cancel out.

Answer 15

wait is te bottom not d^2-10d+25?

Answer 16

Sounds like a plan

Answer 17

I'm confused ;-;

Answer 18

no not really. because you can take out some of the -10d :)

Answer 19

*cough*

Answer 20

wait so ow do we combine 4d nd 20?

Answer 21

litle brother sorry

Answer 22

hmmm if you haven't covered common factoring and quadratic factoring, and/or FOIL
or even LCD

I'd suggest this is a good time to start off there to begin with

Answer 23

@jdoe0001 my bro is acting up; can you take care of this?

Answer 24

who?

Answer 25

little brother

Answer 26

hmm well...hmmm put on the simpsons video =P

Answer 27

I've covered all of those I don't know how it works with this tough

Answer 28

lol he's screaming at the top of his lungs. gtg sry!

Answer 29

it's okay.

Answer 30

Where did you get too?

Answer 31

We still have to combine te 4d-20

Answer 32

oh, you wat to factor it. do the two numbers have any common factors?

Answer 33

*want

Answer 34

hmmm hmm... ok... so. hmm let us start off

notice the denominators
what do you think is the LCD?

Answer 35

4 = 2*2, 20 = 2*10 = 2*2*5

Answer 36

Uhm, where does the 2*2*2 come from?

Answer 37

d^2 -10d +25 = d*d -5d-5d +(-5)(-5) = ? factorized completly
- these will help you ?

Answer 38

\[2\cdot2 =4\]

Answer 39

We are looking at all the factors of 4 and 20 to find any common factors

Answer 40

First of all, the denominators are the SAME for both fractions, which greatly simplifies your work. Simply find the difference between 4d and 20, and write your (factored) result over the given denom. Unless you want to try to reduce this, y ou're done! Please show all work.

Answer 41

the denom factors --> must reduce

Answer 42

I'm not sure how tto factor 4d-20, and the above explanations are confusing me.

Answer 43

try and factor out a 4.

Answer 44

4(d - ?)

Answer 45

Hint: what's 20/4?

Answer 46

5

Answer 47

I said 5 earlier but rhonda told me no

Answer 48

Nice, 4(d-5) now lets use this as a hint to factor the bottom

Answer 49

5+5+5+5=20

Answer 50

i.e. \[4\cdot5=20\]

Answer 51

Redcan: Let's look at the whole denom., a quadratic. Help WhatEven choose an appropriate strategy for factoring this denom.

Answer 52

WhatEven: which methods of factoring quadratics are most familiar for you?

Answer 53

I think we are still working on understanding the top

Answer 54

Um. Combining like terms.

Answer 55

whats up what do u guys need

Answer 56

Mikey236333: Redcan and WhatEven are doing fine on their own. You're welcome to watch if you wish.

Answer 57

Where we are\[\frac{4(d-5)}{d^2-10+25}\]

Answer 58

Nice work, Redcan. WhatEven: again, what methods do you know for factoring quadratics, such as the denominator of this rational fraction?

Answer 59

I had said combining like terms but that's not right... I know what factoring is Im not good at it though I'm not sure wat our first step is.

Answer 60

@mathmale @Redcan ? Did everyone really leave? :( Not cool

Answer 61

help??

Answer 62

I could really use some

Answer 63

did you get this one? it is identical to one we did yesterday

Answer 64

are you at this step now\[\frac{4(d-5)}{d^2-10+25}\]?

Answer 65

Yes satellite that is where I am

Answer 66

WHat help

Answer 67

Question
?

Answer 68

ok do you remember the one we did almost identical where the denominator was a perfect square, so you could factor and then cancel the common factor top and bottom?

Answer 69

i think we had just about the same thing \[\frac{4(d-3)}{d^2-6d+9}\]

Answer 70

then we factored the denominator as \[\frac{4(d-3)}{(d-3)(d-3)}\] and then cancelled

Answer 71

I kind of remember... Can you walk me through it again? :(

Answer 72

sure but i bet you can do it for yourself
we had \[\frac{4(d-3)}{d^2-6d+9}=\frac{4(d-3)}{(d-3)(d-3)}=\frac{4}{d-3}\]

Answer 73

you have \[\frac{4(d-5)}{d^2-10d+25}\] factor the denominator like we factored the one above, making a slight adjustment since \(5^2=25\) rather than \(3^2=9\)

Answer 74

Woah.. where did those two fractions come from? are we omitting the original denominator?

Answer 75

you confused me there, i had to scroll up \[e62-10d+25\]IS the originai denominator
your job is to factor it

Answer 76

oops i meant \[d^2-10d+25\]is the original denominator

Answer 77

So to factor it what is our first step?

Answer 78

recognize two things

Answer 79

Does this have to do with 5 again?

Answer 80

first of all, the denominator is a perfect square since \(-2\times -5=-10\) and \((-5)^2=25\)
also notice that since this problem was made up by a math teacher, you can bet your lunch money that the factor of \(d-5\) in the numerator will cancel with a factor of \(d-5\) in the denominator

Answer 81

So then our answer is \[\frac{ 4 }{d-5 }\] ?

Answer 82

which is a long winded was of saying, that just like \[d^2-6d+9=(d-3)(d-3)\] also \[d^2-10d+25=???\]

Answer 83

yes dear it is !

Answer 84

took two hours to get there, but that is it

Answer 85

I think I kind of get it... can I tag you if I need help again? And I'm sorry I just don't get where the numbers are coming from most the time and it confuses me..

Answer 86

sure no problem

Answer 87

Tank you so much.