# ALGEBRAIC Techniques

#### deeps01

Joined Nov 3, 2004
2
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

#### Perion

Joined Oct 12, 2004
43
Originally posted by deeps01@Nov 3 2004, 07:36 AM
yo ppl! just recently started studying algebraic techniques!

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

#### Perion

Joined Oct 12, 2004
43
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