AlgebraStudy Notes

Worked Example 1: Simplifying

Part of Algebraic FractionsGCSE Mathematics

This study notes covers Worked Example 1: Simplifying within Algebraic Fractions for GCSE Mathematics. Revise Algebraic Fractions in Algebra for GCSE Mathematics with 13 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 3 of 4 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 4

Practice

13 questions

Recall

12 flashcards

Worked Example 1: Simplifying

Simplify: (x² − 4)/(x + 2)

Solution

x² − 4 = (x + 2)(x − 2) [difference of squares]

= (x + 2)(x − 2)/(x + 2)

= x − 2 [cancel (x + 2)]

Keep building this topic

Read this section alongside the surrounding pages in Algebraic Fractions. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Algebraic Fractions

Simplify 6x²/3x

  • A. 2x
  • B. 2x²
  • C. 3x
  • D. 6x
1 markfoundation

Explain why you need a common denominator when adding algebraic fractions.

2 marksstandard

Quick Recall Flashcards

Graphical Inequalities
Solid line = ≤ or ≥. Dashed line = < or >. Shade region
Simplifying Algebraic Fractions
Factorise top and bottom FIRST, then cancel common factors

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