Factorising algebraic expressions
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Factorising algebraic expressions

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A slideshow to explain the process of factorising algebraic expressions.

A slideshow to explain the process of factorising algebraic expressions.

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    Factorising algebraic expressions Factorising algebraic expressions Presentation Transcript

    • Factorising Algebraic Expressions
    • This is factorising…
      8
       
      =4×2
       
      =8×1
       
      6𝑎
       
      =6×𝑎
       
      =6𝑎×1
       
      𝑚2
       
      =𝑚×𝑚
       
      12𝑦2
       
      =3×4𝑦2
       
      =4𝑦×3𝑦
       
    • This is an algebraic expression:
      2𝑎+6
       
      Algebraic expressions can sometimes be factorised.
      2×(𝑎+3)
       
      =
       
      2𝑎+6
       
      =
       
      2(𝑎+3)
       
    • 𝑎
       
      𝑎
       
      6
       
      +
       
      2𝑎
       
    • 𝑎+3
       
      𝑎+3
       
      2×(𝑎+3)
       
      2(𝑎+3)
       
      Factorised algebraic expression
    • 2𝑎+6
       
      Factors of  𝟐𝒂
       
      Factors of  𝟔
       
      3, 2, 1, 6
       
      2, 1, 𝑎
       
      𝐻𝐶𝐹=2
       
      =2×𝑎
       
      + 2×3
       
      2𝑎+6
       
      =2×(𝑎+3)
       
      =2(𝑎+3)
       
    • 8𝑚+12
       
      Factors of  𝟖𝒎
       
      Factors of  𝟏𝟐
       
      3, 4, 2, 6, 1, 12
       
      1, 8, 2, 4, 𝑚
       
      𝐻𝐶𝐹=4
       
      + 4×3
       
      =4×2𝑚
       
      8𝑚+12
       
      =4×(2𝑚+3)
       
      =4(2𝑚+3)
       
    • 5𝑎𝑏+10𝑎
       
      Factors of  𝟓𝒂𝒃
       
      Factors of  𝟏𝟎𝒂
       
      2, 5, 1, 10, 𝑎
       
      1, 5, 𝑎, 𝑏
       
      𝐻𝐶𝐹=5𝑎
       
      + 5𝑎×2
       
      =5𝑎×𝑏
       
      5𝑎𝑏+10𝑎
       
      =5𝑎×(𝑏+2)
       
      =5𝑎(𝑏+2)
       
    • 9𝑗𝑘+4𝑘
       
      Factors of  𝟗𝒋𝒌
       
      Factors of  𝟒𝒌
       
      1, 4, 𝑘
       
      1, 9, 𝑗, 𝑘
       
      𝐻𝐶𝐹=𝑘
       
      + 𝑘×4
       
      =𝑘×9𝑗
       
      9𝑗𝑘+4𝑘
       
      =𝑘×(9𝑗+4)
       
      =𝑘(9𝑗+4)
       
    • 𝐻𝐶𝐹=3
       
      12h+3
       
      =3×4h+3×1
       
      +
       
      =3(4h+1)
       
      4h
       
      1
       
      𝐻𝐶𝐹=𝑏
       
      𝑎𝑏−4𝑏
       
      =𝑏×𝑎−𝑏×4
       
      =𝑏(𝑎−4)
       
      𝑎
       
      4