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.
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.