Express
x+5(x+2)(x+3)\displaystyle \frac{x+5}{(x+2)(x+3)}(x+2)(x+3)x+5
in the form
Ax+2+Bx+3\displaystyle \frac{A}{x+2}+\frac{B}{x+3}x+2A+x+3B
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.