Worked Example 1: Simplifying
Part of Algebraic Fractions · GCSE GCSE Mathematics revision
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 5 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 5
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
Explain why you need a common denominator when adding algebraic fractions.
Quick Recall Flashcards
13 questions on Algebraic Fractions — practise free
Instant marking, adaptive difficulty, and 12 spaced repetition flashcards. Free until your GCSEs.
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