Factorising and Simplifying

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• Maths Revision

1. Algebra
   1. Simplifying
      1. EXAMPLES
         1. t² x t³ = t⁵
         2. y⁸ x y³ = y¹¹
         3. p⁷÷ p⁵ = p²
         4. m¹⁰÷m² = m⁸
   2. Factorise
      1. EXAMPLES
         1. 8m²-12m = 4m(2m-3)
         2. 12p²-8p = 4p(3p-2)
         3. 6q²-9q = 3q(2q-3)
         4. 16m²-12m = 4m(4m-3)
      2. How Do You Factorise?
         1. Step 1) You have to find the largest number that fits into the sequence or the most common letter.
            1. e.g 12x-3a .The largest number that goes into both would be 3
            2. e.g 12x²-3x . The most common letter would be x
         2. Step 2) You then see how many time that letter or number can go into each side.
            1. e.g 12x-3a. This would then be 3(4x-a)
            2. e.g 12x²-3x . This would be x(12x-3)