Question

Find the product. (Multiplying Rational Expressions)
v - 12 over 10
times - v - 2 over 4

Help/an explanation would be greatly appreciated. :)

Answer 1

All you have to do is multiply the numerators and the denominators

Answer 2

I did that, but I got a completely different answer from the book, which has an answer key. I'm pretty sure I have to factor something, but I'm not sure.
The book says the answer is \[-(v-3) \over 5(v+1)\].

Answer 3

can you show your work and what you got?

Answer 4

The drawing feature isn't being cooperative, but I'll try to explain it as best I can.
I multiplied (v-12) and -v-2 and got v+24 over 40. And I'm somewhat stuck there right now.

Answer 5

i'm doing it out on on paper and i got (-v^2+10v+24)/40 so the answer in your bok is stumping me

Answer 6

Hm.. I'll keep trying. Maybe the answer was written incorrectly.
Thanks for the assistance, though!

Answer 7

no problem. I'd suggest bumping this and see if anyone else can figure it out.

Answer 8

@ChukRock , I got the same thing you did. @Hologram are you sure that you copied the problem correctly from the book and that you are looking at the correct answer?

Answer 9

My question was a simplified version of the original problem, so it's likely that I simplified the problem incorrectly. Would it be better to post the original instead?
Sorry for the confusion; this is a totally new concept.

Answer 10

Yes, try to post the original

Answer 11

Alright, the original is \[v ^{2}+v-12 \over 5v+1 \] times \[-v-2 \over v ^{2}+5v +4\].

Answer 12

Is the denominator of that first term 5v+1 or is it v+1?

Answer 13

Sorry, it's 5v+10. Missed that.

Answer 14

Ok, factor\[v ^{2}+v-12=\]and\[v ^{2}+5v+4=\] and \[5v+10=\] and plug back into the original equation. I think you will then get the answer from the book.

Answer 15

Thank you so much for your help!

Answer 16

you're welcome