Paper I · 9 Logical Reasoning & Analytical Ability · 9.2 Algebra: equations, identities and progressions

9.2.3 Algebraic identities and factorisation for fast simplification

A handful of identities turn long arithmetic into one-line answers: spot the pattern (a ± b)², a² − b², a³ ± b³ or x + 1/x, and the calculation collapses.

  • APPSC Paper I · Paper I
  • Standard level
  • 6 min read
  • Full course

Key terms

  • algebraic identities
  • square of a sum
  • difference of squares
  • sum of cubes
  • a+b+c=0
  • x + 1/x
  • factorisation
  • factor theorem
  • remainder theorem
  • surd expressions

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

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