Friday

August 1, 2014

August 1, 2014

Posted by **Matt O.** on Tuesday, March 23, 2010 at 7:11am.

- Math -
**Reiny**, Tuesday, March 23, 2010 at 8:19amAre you the same James who posted several versions of this yesterday?

http://www.jiskha.com/display.cgi?id=1269297854

If so, it is an improvement, but still not too clear.

I think that (x^2+5x)+(xy+5y) probably should be the entire denominator of the first fraction, you didn't type it that way, so I will read the question this way ....

(y-5)/[(x^2+5x)+(xy+5y)] + 1/(x+y) - 2/(x+5)

= (y-5)/[x(x+5)+y(x+5)] + 1/(x+y) - 2/(x+5)

= (y-5)/[(x+5)(x+y)] + 1/(x+y) - 2/(x+5)

now we have (x+5)x+y) as a common denominator, so

=(y-5)/[(x+5)(x+y)] + (x+5)/[(x+5)(x+y)] - 2(x+y)/[(x+5)(x+y)]

= (y-5 + x + 5 - 2x - 2y)/(x+5)(x+y)]

= (-x - y)/[(x+5)(x+y)]

= -(x+y)/[(x+5)(x+y)]

= -1/(x+5)

**Related Questions**

Math - Perform the indicated operations. Reduce the answers to lowest terms.... ...

math - perform the indicated operation reduce answer to lowest terms 3/17 + 6/...

Math - Perform the indicated operations and reduce all results to lowest terms. ...

Math - Can you please explain step by step on how to do each of these two ...

Algebra - How do i Solve this. It says perform indicated operations and express ...

algebra - a^3 - 8b^3/6b^2 - ba- a^2 / 3a^3b + 6a^2b^2 + 12ab^3/ a^2 - 9b^2 ...

algebra - How do I perform an indicated operation and reduce to lowest terms? ...

math- please help! - Please help with these 5 problems! I have the solutions but...

math - please answer this my topic is all about sums and differences of rational...

Algebra II - Could you please check my answer? Given the functions f and g, ...