Express
2y−1(y−3)2\displaystyle \frac{2y-1}{(y-3)^2}(y−3)22y−1
in the form
Ay−3+B(y−3)2\displaystyle \frac{A}{y-3}+\frac{B}{(y-3)^2}y−3A+(y−3)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.