Question

----♥Algebra 2 Help♥------
♥How do I add these rational expressions O.o♥
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Answer 1

I believe that you'll be using cross multiplication and the distributive property :)

Answer 2

So 2x times 2x? and x+4 times x+1?

Answer 3

Yep

Answer 4

I'm gonna solve that and show you c:

Answer 5

Okies ^_^

Answer 6

Oh wait...

Answer 7

I looked up the answer on Wolfram and it looks different O.o

Answer 8

I forgot that you use cross multiplication to see if fractions are equal... >_<
Since the numerator on the first fraction and the denominator on the second fraction are both 2x, I think you need to cancel them out.

Answer 9

thats the answer, but i need to explain in sentcnces how i got there and ok c:

Answer 10

the image above your reply is the answer

Answer 11

Ah ok. When I cross multiplied, I got 4x^2 for the first num. and second denom., and x^2 + 5x + 4 when multiplying the other values. It looks like in the answer, they added the two to get the answer's numerator.

Answer 12

How would they get whats on the numerator?

Answer 13

I'm looking at this right now: http://www.purplemath.com/modules/rtnladd.htm
About halfway down the page, under 'The process works similarly for rationals.', I think its talking about this kind of thing.

Answer 14

ok i opened up the page, just waiting for it to load c:

Answer 15

This is confusing .-. :x

Answer 16

Ok :) What I figured out so far is that in the answer, the denominator is 2x(x+4), which is the common denominator for 2x and x+4. You multiply x+4 (denom. of 1st fraction) by 2x, and do the same to its numerator. Then, you'll multiply 2x (denom. of 2nd fraction) by (x+4) (without distributing) and do that to the numerator too.

Does that makes sense maybe?

Answer 17

the denomator looks easy but i dont get how the numerator came out like that

Answer 18

Once the denominators are the same, you can just add the numerators like a regular adding problem. Like, 3/5 + 1/5 = 4/5. The numerator's just complicated-looking because there was multiplication in the numerators when making a common denominator.

Answer 19

the message befor this one you said to add the denomator with the numerator?

Answer 20

2x(x+4)

Answer 21

Well you're not adding the denominator to the numerator, if that's what you meant.
Here: with the first fraction, you have 2x/(x+4).
To make that denominator into 2x(x+4), you need to multiply the denominator by 2x.
This will look like 2x(x+4).
Since you multiplied a value in the denominator, you need to do the same to the numerator.
So what will the first fraction be?

Answer 22

2x(x+1) or would it be (x+1)2x

Answer 23

Well we're just looking at the first fraction for now. You need to multiply 2x (numerator of 1st fraction) by 2x, since we multiplied that fraction's denominator by it.

Answer 24

this is making my mind hurt lol Ill get help on here tommorow c: or monday

Answer 25

Oh I'm sorry :( ok I hope you feel better and have better luck with someone else! lol

Answer 26

Its ok algebra 2 is mind tripping sometimes lol

Answer 27

Lol I know that feel. I'm cramming to get work done by Wednesday ;-;