Express
5x−7(x−1)2\displaystyle \frac{5x - 7}{(x - 1)^2}(x−1)25x−7
in the form
Ax−1+B(x−1)2\displaystyle \frac{A}{x - 1} + \frac{B}{(x - 1)^2}x−1A+(x−1)2B
where A A\,A and B B\,B are integers.