CBSE · Class 9 · Mathematics · Chapter 4

Exploring Algebraic Identities

Discover algebraic identities, understand how they are formed, and learn to use them for simplifying and solving algebraic expressions.

8 lessons 60 min
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Lessons in this chapter

  1. 1Exploring Algebraic IdentitiesAlgebraic identities are shortcuts that still insist you show your working.
  2. 2Visualising IdentitiesWhen symbols feel abstract, squares and rectangles make them confess.
  3. 3Factorisation of Algebraic Expressions Using IdentitiesFactorisation packs an expression neatly back into its original boxes.
  4. 4More IdentitiesMore identities, because algebra apparently has several clever disguises.
  5. 5Factorisation Using Algebra TilesMove a few tiles around and the factors practically introduce themselves.
  6. 6Factorisation Without Using Algebra TilesNo tiles? No problem—algebra still leaves enough clues to find the factors.
  7. 7Finding New IdentitiesOnce you recognise the pattern, inventing identities feels suspiciously powerful.
  8. 8Chapter Summary and PracticeExpand, factor and prove that both directions eventually lead home.
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