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.