SOLUTION: I need help with this problem, I am having a difficult time with the x^3. Here is the problem.Please help x^2-25/x^3*x^3+5x^2/x^2-10x+25

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help with this problem, I am having a difficult time with the x^3. Here is the problem.Please help x^2-25/x^3*x^3+5x^2/x^2-10x+25      Log On


   



Question 320976: I need help with this problem, I am having a difficult time with the x^3. Here is the problem.Please help
x^2-25/x^3*x^3+5x^2/x^2-10x+25

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

You didn't put in any parentheses and so therefore according to 
the PEMDAS rules what you typed means this:

x%5E2%22-%2225%2Fx%5E3%22%22%2A%22%22x%5E3%22%2B%225x%5E2%2Fx%5E2%22-%2210x%22%2B%2225

But I don't believe you meant that.  It would be good if you 
learn to type algebraic expressions using the PEMDAS rules:
I am guessing that you meant this:

%28%28x%5E2-25%29%2Fx%5E3%29%2A%28%28x%5E3%2B5x%5E2%29%2F%28x%5E2-10x%2B25%29%29

Factor whatever will factor:





Cancel the %28x-5%29 on top into one of those on the bottom:



Cancel the x%5E2 in the top into the x%5E3 on the bottom,
leaving just x on the bottom



All that's left is

%28%28x%2B5%29%28x%2B5%29%29%2F%28x%28x-5%29%29

and we can write %28x%2B5%29%28x%2B5%29 simpler as %28x%2B5%29%5E2

%28x%2B5%29%5E2%2F%28x%28x-5%29%29

Edwin