SOLUTION: 4[2/x-5x^4/(x^5+3)] x^5+3 is the bottom term of the denominator the whole thing no splitting could u show steps of factoring and correct answer is 12(-x^5+2)/x(x^5+3)

Algebra ->  Equations -> SOLUTION: 4[2/x-5x^4/(x^5+3)] x^5+3 is the bottom term of the denominator the whole thing no splitting could u show steps of factoring and correct answer is 12(-x^5+2)/x(x^5+3)      Log On


   



Question 1169874: 4[2/x-5x^4/(x^5+3)]
x^5+3 is the bottom term of the denominator the whole thing no splitting
could u show steps of factoring and correct answer is 12(-x^5+2)/x(x^5+3)

Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
4%282%5E%22%22%2Fx%5E%22%22-5x%5E4%2F%28x%5E5%2B3%29%29 = 12(-x^5+2)/x(x^5+3)
8%5E%22%22%2Fx%5E%22%22-20x%5E4%2F%28x%5E5%2B3%29
LCD = x(x5+3)
Multiply the first fraction by %28%28x%5E5%2B3%29%2F%28x%5E5%2B3%29%29
Multiply the second fraction by %28x%5E%22%22%2Fx%5E%22%22%29,
both which just amount to multiplying by 1:



%288x%5E5%2B24%29%2F%28x%28x%5E5%2B3%29%29-%2820x%5E5%29%2F%28x%28x%5E5%2B3%29%29
Combine the numerators over the common denominator:
%28%288x%5E5%2B24%29-%2820x%5E5%29%29%2F%28x%28x%5E5%2B3%29%29
%288x%5E5%2B24-20x%5E5%29%2F%28x%28x%5E5%2B3%29%29
%28-12x%5E5%2B24%29%2F%28x%28x%5E5%2B3%29%29
12%28-x%5E5%2B2%29%2Fx%28x%5E5%2B3%29

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
4%282%5E%22%22%2Fx%5E%22%22-5x%5E4%2F%28x%5E5%2B3%29%29 = 12(-x^5+2)/x(x^5+3)

8%5E%22%22%2Fx%5E%22%22-20x%5E4%2F%28x%5E5%2B3%29 

LCD = x(x5+3)

Multiply the first fraction by %28%28x%5E5%2B3%29%2F%28x%5E5%2B3%29%29
Multiply the second fraction by %28x%5E%22%22%2Fx%5E%22%22%29,
both which just amount to multiplying by 1:


 
 

%288x%5E5%2B24%29%2F%28x%28x%5E5%2B3%29%29-%2820x%5E5%29%2F%28x%28x%5E5%2B3%29%29 

Combine the numerators over the common denominator:

%28%288x%5E5%2B24%29-%2820x%5E5%29%29%2F%28x%28x%5E5%2B3%29%29 

Remove the parentheses:

%288x%5E5%2B24-20x%5E5%29%2F%28x%28x%5E5%2B3%29%29

%28-12x%5E5%2B24%29%2F%28x%28x%5E5%2B3%29%29

12%28-x%5E5%2B2%29%2Fx%28x%5E5%2B3%29

Edwin