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
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
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