Question 211726
Start by eliminating the negative exponent.  Remember that a negative exponent means to invert the fraction.  A whole number or variable is actually that number or variable over 1.  In this case, the variable will read as {{{1/x^2}}}.

So we can re-write the equation as:
{{{1/x^2 -6x+9}}}
Now we can begin to factor.  
({{{1/x}}}   ?)({{{1/x}}}   ?)
To fill in the question marks, we need to know what adds to be -6 and multiplies to be 9.
{{{(1/x-3)(1/x-3)}}}