SOLUTION: Can I please get help dividing this? I tried it a few times and keep getting confused. x^3+125/x^3-125 divided by x^2-5x+25/x-5

Question 171490: Can I please get help dividing this? I tried it a few times and keep getting confused.
x^3+125/x^3-125 divided by x^2-5x+25/x-5
Found 2 solutions by Mathtut, monika_p:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
first lets invert and multiply..(we are inverting theterm
:
lets factor certain terms such as the sum of cubes and the difference of cubes
:
=(x+5)(x^2-5x+25)
:
=(x+5)(x^2+5x+25)...with that info lets begin
:

:

Answer by monika_p(71) (Show Source): You can put this solution on YOUR website!
First fraction:

simplify using formula a^3+b^3=(a+b)(a^2-ab+b^2) and a^3-b^3=(a-b)(a^2+ab+b^2)
x^3+125=x^3+5^3= (x+5)(x^2-5x+25)
similary do with (x^3-125)
then:

Now first fraction multiply by inverse of second and simplify
* =
*** you can not simplify x^2-5x+25 because it doesnt have roots b^2-4ac<0
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