The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.
$\frac{x+5}{\left(x^2-1\right)x}$
Final answer to the problem
$\frac{x+5}{\left(x^2-1\right)x}$
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In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.