Algbrea 2 Math

Question

8/over n-5 + n/over n+5= 

 

Lowest terms

Answer 1

   8           n 
------ + -------- =
 n - 5     n + 5

LCD is (n - 5)(n + 5)

 8(n + 5) + n(n - 5)    
----------------------- =
    (n - 5)(n + 5) 

 8n + 40 + n² - 5n 
---------------------- =
    (n - 5)(n + 5)

 n² + 3n + 40
----------------- =
 (n - 5)(n + 5)

Thank you Vivian, and accept my apologies, Bridget, the final answer is 

 n² + 3n + 40
---------------
    n² - 25

Answer 2

Hi again Bridget;

[8/(n-5)]+[n/(n+5)]=

Let's multiply the first bracketed equation by (n+5)/(n+5)...

Let's multiply the second bracketed equation by (n-5)/(n-5)

[8(n+5)/(n+5)(n-5)]+[n(n-5)/(n-5)(n+5)]

Let's add...

[(8(n+5)+n(n-5)]/[(n-5)(n+5)]

Let's distribute the numerator...

(8x+40+n²-5n)/[(n-5)(n+5)]

(n²+3n+40)/[(n-5)(n+5)]