Question

Dividing rational expressions, PLEASE solve and simplify.

Answer 1

\[\frac{ b-5 }{ b } \div \frac{ b ^{2} -25}{ 2b }\]

Answer 2

@hartnn help please?

Answer 3

@myininaya

Answer 4

@mathmale ?

Answer 5

Happy to help. Thanks for becoming a fan of mine.
Would you please start out by factoring b^2-25?

Answer 6

@mathmale Yay :) no problem. And would it be \[(b+1)(b-25) \] ??? i really suck at this

Answer 7

Here's an example of dividing one (simple) fraction by another (simple fraction):

\[\frac{ a }{ b }\div \frac{ c }{ d }=\frac{ a }{ b }\times \frac{ d }{ c }\]

Answer 8

Let's talk about this quickly and then go back to what you've just typed to me.
In my example: we are dividing the fraction (a/b) by the fraction (c/d) To accomplish this, all we have to do is to invert (flip over) the divisor (c/d) and multiply the first fraction (a/b) by the result (d/c). How familiar does this seem to you?

Answer 9

I know how to do that step very good. It's just everything after that makes me confused, such as crossing out like terms and simplifying

Answer 10

As for factoring b^2-25: First let me remind you that b^2-25 can be re-written as b^2-5^2:

Answer 11

\[x ^{2}-5^{2}=(x-5)(x+5),\]

Answer 12

you're starting to confuse me

Answer 13

x^2-5^2 is called "the difference of squares" and is easily factored. I'd suggest that you please look up in your textbook "special products and factors," as you'll definitely need to know the basics of that to do well in any problem involving factoring.

Answer 14

Perhaps I should have started out with the verbal explanation and then given you the equation. Nevertheless, this is basic algebra, and to do well in the rest of your algebra course, you'll have to learn, remember and use this basic material. To be told that I'm "starting to confuse you" is not helpful to either you or me.

Answer 15

I just need help with the steps of my question

Answer 16

Be careful. I am going through this step by step already. It will take effort on your part to understand this material.

Answer 17

Returning to x^2-5^2, do you see that this is the difference of two squares?
x^2 is a square, 5^2 is a square, so x^2-5^2 is the difference of two squares.
This is a special product, and its factors are (x-5)(x+5).

Answer 18

Is the answer \[\frac{ 2 }{ b+5 }\]

Answer 19

that's perfect. You understand this material better than you give yourself credit for. Please stop demeaning yourself by saying things like, "I such at this stuff."

Answer 20

So, you have successfully completed this problem solution.
Anything else you'd care to discuss rigfht now?

Answer 21

Thank you, I have three more similar questions that i will solve and can you tell me if they are correct ?

Answer 22

Could you possibly take a photo of your work with your cell phone and send me the image, to save time?

Answer 23

If you'd prefer to do this through the Equation Editor, that'd be fine also.

Answer 24

I have other things to do right now, but if you'll do some work on your own, share it with me, and be patient, I'd be happy to give you some feedback on what you've done.

Answer 25

\[\frac{ 5s }{ 4 } \div \frac{ 7t }{ -4 } = \frac{ 5s }{ 7t }\] is this right?

Answer 26

Yes, EXCEPT that this last result must be (-). Can you explain why?

Answer 27

okay sorry

Answer 28

Why (-)?

Answer 29

I dont understand what is supposed to be (-)

Answer 30

Look at your original question (from just a minute ago): It involves a negative sign, doesn't it? That negative sign must also be part of your final answer for this question.

Answer 31

okay so it should be -7t?

Answer 32

That'd be OK, although I'd prefer to see -5s/(7t).

Answer 33

I'm going to leave my computer now, as I have other things to do, but I will share feedback with you when I return. Is that all right with you? If not, post your new problems on openstudy and someone else will surely respond.

Answer 34

\[\frac{ b-6 }{ b }\div \frac{ 6 }{ b } = \frac{ b-6 }{ 6 }\] is this correct @mathmale

Answer 35

Yes. Congrats. But I really would prefer to respond later, if you don't mind.

Answer 36

yes thank you im done

Answer 37

Nice working with y ou. Again, don't demean yourself. it helps no one when you do so.