Quadratic Expansions

Description

NCEA L2/3 Calculus and Chemistry (Algebra) Mind Map on Quadratic Expansions, created by Olivia McKenzie on 07/07/2014.
Olivia McKenzie
Mind Map by Olivia McKenzie, updated more than 1 year ago
Olivia McKenzie
Created by Olivia McKenzie over 10 years ago
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Resource summary

Quadratic Expansions
  1. Two brackets
    1. (x+2)(x-5)= x2-5x+2x-10
      1. = x2-3x-10
      2. (x+7)(x+2)
        1. = x2+2x+7x+14
          1. = x2+9x+14
      3. Three Brackets
        1. (x+1)(x+2)(x-3)=(x+1)[(x2-x-6)]
          1. = x3-x2-6x+x2-x-6
            1. = x3-7x-6
          2. (x+2)(x+5)(x+3)
            1. = (x+2)[(x2+8x+15)
              1. = x3+8x2+15x+2x2+16x+30
                1. = x3+10x2+31x+30
          3. Perfect Squares
            1. (x+4)2
              1. = (x+4)(x+4)
                1. = x2+8x+16
              2. (x+2)2
                1. = (x+2)(x+2)
                  1. x2+4x+4
              3. Difference between two squares
                1. (x+5)(x-5)
                  1. = x2+5x-5x-25
                    1. = x2-25
                  2. (x+3)(x-3)
                    1. = x2+3x-3x-9
                      1. = x2-9
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