Question 320976
<pre><b>
You didn't put in any parentheses and so therefore according to 
the PEMDAS rules what you typed means this:

{{{x^2}}}{{{"-"}}}{{{25/x^3}}}{{{""*""}}}{{{x^3}}}{{{"+"}}}{{{5x^2/x^2}}}{{{"-"}}}{{{10x}}}{{{"+"}}}{{{25}}}

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:

{{{((x^2-25)/x^3)*((x^3+5x^2)/(x^2-10x+25))}}}

Factor whatever will factor:

{{{(((x-5)(x+5))/x^3)*((x^2(x+5))/((x-5)(x-5)))}}}



Cancel the {{{(x-5)}}} on top into one of those on the bottom:

{{{(((cross(x-5))(x+5))/x^3)*((x^2(x+5))/((cross(x-5))(x-5)))}}}

Cancel the {{{x^2}}} in the top into the {{{x^3}}} on the bottom,
leaving just {{{x}}} on the bottom

{{{(((cross(x-5))(x+5))/x^cross(3))*((cross(x^2)(x+5))/((cross(x-5))(x-5)))}}}

All that's left is

{{{((x+5)(x+5))/(x(x-5))}}}

and we can write {{{(x+5)(x+5)}}} simpler as {{{(x+5)^2}}}

{{{(x+5)^2/(x(x-5))}}}

Edwin</pre>