📘 Class 8 Maths – Chapter 14: Factorisation

STEP 6: Mind Map + Easy Memory Tricks

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🧠 What is Factorisation?

Factorisation means breaking an algebraic expression into simpler parts called factors.

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🌿 FACTORISATION – MIND MAP

• 1. Common Factor Method
  • Find HCF of all terms
  • Take it outside the bracket
  • Example:
    6x + 9 = 3(2x + 3)
• 2. Grouping Method
  • Group terms in pairs
  • Take common factor from each group
  • Example:
    ax + ay + bx + by = a(x + y) + b(x + y)
• 3. Identity Method
  • Use standard algebraic identities
  • (a + b)² = a² + 2ab + b²
(a − b)² = a² − 2ab + b²
a² − b² = (a − b)(a + b)
• 4. Quadratic Expressions
  • Split the middle term
  • Take common factors
  • Example:
    x² + 5x + 6 = (x + 2)(x + 3)

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🎯 EASY MEMORY TRICKS

🔹 Trick 1: C–G–I–Q

• C → Common factor
• G → Grouping
• I → Identity
• Q → Quadratic

🔹 Trick 2: “Square has 3 terms”

If an expression has 3 terms, think of:
(a + b)² or (a − b)²

🔹 Trick 3: Minus between squares

a² − b² → Always becomes
(a − b)(a + b)

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✍️ Exam Writing Tips

• Mention the method name
• Show step-by-step working
• Final answer must be in brackets