Factorise the numerator and the denominator.
Hence, write x2+5x+4x2+2x−8\displaystyle \frac{x^2 + 5x + 4}{x^2 + 2x - 8}x2+2x−8x2+5x+4 in the form ax+bx+c\displaystyle \frac{ax + b}{x + c}x+cax+b where aaa, bbb, and c c\,c are integers.
255 exam-style questions on Edexcel GCSE Maths Algebraic Fractions. Each one has a worked solution and a mark scheme showing where the marks go.