Posted by **Sara** on Friday, July 20, 2007 at 10:53am.

Posted by Tammy on Thursday, July 19, 2007 at 10:12pm.

download mp3 free instrumental remix

(3x+4)/(3x-4)+(3x-4)/(3x+4)

--------------------------- Divide top by bottom

(3x-4)/(3x+4)-(3x+4)/(3x-4)

Very Big Problem and help would be greatly appreciated

For Further Reading

Algebra - Reiny, Thursday, July 19, 2007 at 11:59pm

not that tough once you notice that your question has the pattern

(a/b + b/a)÷(b/a - a/b)

where a = 3x+4 and b=3x-4

this easily reduces to (a^2 + b^2)/(b^2 - a^2)

now replace a and b with 3x+4 and 3x-4 and it simplifies to

(9x^2+16)/(-24x)

hmm, the answer is right (it's in my book) but I don't understand how you simply reduce it to (a^2+b^2) (b^2-a^2)

and from there when I tried to replace a and b with 3x+4 and 3x-4 I don't know how to simplify it or get the answer. Could you write down the steps detailed? I have a bunch of problems that I can't solve that are similar, so I think if I understand the concept of this one I will be able to sove all the other ones.

The fact that there was that nice symmetry to the question, makes it easier than it first appears.

I had it as:

(a/b + b/a)÷(b/a - a/b)

look at (a/b + b/a)

the common denominator for this would be ab, so

a/b + b/a = (a^2 + b^2)/ab

similarly for

(b/a - a/b) the common denominator is ab and this reduces to

(b^2 - a^2)/ab

so now we have

(a^2 + b^2)/ab ÷ (b^2 - a^2)/ab

remember when dividing one fraction by another, we multiply by the reciprocal of the second fraction, so

(a^2 + b^2)/ab ÷ (b^2 - a^2)/ab

=(a^2 + b^2)/ab * ab/((b^2 - a^2)

the ab's cancel and that's how I got

(a^2 + b^2)/(b^2 - a^2)

Now replace the original values of a and b and you should be able to do that yourself.

## Answer this Question

## Related Questions

- Calculus - Second Order Differential Equations - Posted by COFFEE on Monday, ...
- Algebra - How would I complete this problem? Geometry. The area of a rectangle ...
- REPOST ABOUT ENG. - Posted by Anonymous on Sunday, September 2, 2007 at 6:01pm. ...
- Algebra - (3x+4)/(3x-4)+(3x-4)/(3x+4) --------------------------- Divide top by ...
- english - Posted by Anonymous on Friday, August 24, 2007 at 10:00pm. download ...
- Physics please clarify - Posted by Mary on Monday, September 3, 2007 at 12:40pm...
- Chemistry - Subjects Art Business Computers English Foreign Languages Health ...
- Physics please clarify - Posted by Mary on Monday, September 3, 2007 at 12:40pm...
- Spanish- SraJMcGin - Posted by Aubrey on Monday, June 4, 2007 at 2:49pm. ...
- Physics repost - Posted by Mary on Monday, September 3, 2007 at 7:11pm. download...

More Related Questions