EduNinja

Edexcel IGCSE Math A Higher 2.2.HC Manipulating Algebraic Fractions

Edexcel IGCSE Math A Higher 2.2.HC Manipulating Algebraic Fractions
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise combining and simplifying algebraic fractions whose numerators or denominators may be numerical, linear or quadratic.

How this is tested

  • form a common denominator before combining algebraic fractions into one fraction
  • factorise linear or quadratic expressions before cancelling valid common factors
  • show clear algebraic working when proving a fraction simplifies to a stated form

Question 23

23a=2x+51−xx=5−2y3y23 a=\frac{2 x+5}{1-x} \quad x=\frac{5-2 y}{3 y}

Write a in the form m+nyp(y−1)\frac{m+n y}{p(y-1)} where m, n and p are integers.
Show your working clearly.