ALGEBRAIC Techniques

Discussion in 'Math' started by deeps01, Nov 3, 2004.

  1. deeps01

    Thread Starter New Member

    Nov 3, 2004
    2
    0
    yo ppl! just recently started studying algebraic techniques!

    And im having difficulties simplifying algebra
    - - - - - - --
    e.g abcde +acd +acfgh +abcde +acde +eh

    I dont know where to start ...

    any one can help me ??

    please e - mail me ASAP

    naniji9@hotmail.com

    Thanks

    D - ROB
     
  2. Perion

    Active Member

    Oct 12, 2004
    43
    1
    There's no set method - but there are many mini-methods or principles - for simplifying expressions and for some expressions it can even be difficult to decide which "simplified" result really is the simplest after manipulating the terms a couple dozen ways. Anyway, you want to use any valid mathematical procedures and/or properties at your disposal to factor, rearrange, and combine terms in order to make the expression the smallest, least confusing, and more user friendly as possible.

    Here's a few basic Rules of Thumb for simplifying expressions.

    For the example you gave:
    exp1: abcde +acd +acfgh +abcde +acde +eh

    After combining the like terms (abcde + abcde), the simplest form would be:
    exp2: 2abcde + acd + acde + acfgh + eh

    There are no more like terms. Though, using the distributive property in reverse, you could change this expression into many other forms like:
    exp3: acd(2be + 1 + e) + h(acfg + e)

    The expanded form like exp2 is usually considered the simplest form.

    Now - here's how to simplify ANY expression: Get a copy of Mathematica and use the Simplify function ;)

    Perion
     
  3. Perion

    Active Member

    Oct 12, 2004
    43
    1
    My bad :( - You're talking about Boolean simlification. Didn't notice the not lines above the terms. They don't line up - use underline formatting for not terms - like:

    abcde = a AND NOT b AND c AND NOT d AND e

    See the Boolean section HERE - especially the section on RULES FOR SIMPLIFICATION

    Perion
     
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