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Friday, October 19, 2012

Let Know Algebra (Aljabar)!

                                                                               Hello, friend JET-Z! How are you? Definitely okay, is not it? This time I want to share my knowledge with you, what is science? black magic? Yeah there's no way I want to post is black magic! I want to post about the science of learning arithmetic created by Muhammad Al-Khwarizmi, what is it? Absolutely, ALGEBRA! Surely you already know, right? Lesson Junior High 7th grade , so no lengthy descriptions let us remember while deepening knowledge!




















Algebra is a branch of mathematics that studies simplifying and solving the problem using the "symbol" instead of constants and variables.

Examples of algebra ....

Algebra is a branch of mathematics that studies simplifying and solving the problem using the "symbol" instead of constants and variables.
Example algebra = 1. 3 \times a = a + a + a =3a 
                             2. 4 \times 5a= 20a
            The algebra = x^2, 3x, 4x^2, 5x, 6a

Operations in algebra:
I. Addition and subtraction
ex: 1. 5x^2 +7x-9x^2+5x-a-9a
      = -4x^2 + 12x -10a

II. Multiplication in algebra
a^m \times a^n = a^{m+n}

a^m \div a^n = a^{m-n}

(a^m)^n = a(^m\times ^n)

(a+b)(a+m) = a^2 + (b+m)a + bm

Make it easy? Now, trying to solve the following problem!
(a ^{-2} + a ^{-1} + 1) \div (a ^{-4} + a ^{-3} + a ^{-2}).


III. quadratic
Well, if we're going to learn about the quadratic algebra dala.
The formula is simply:
1. (a+b)^2 = a^2 +2ab +b^2. 
Where? Try it you times (ab) and (ab) manually!
Another way is to use a special triangle. Rank is in accordance with the triangles.
example:
How Much (a+b)^3.?
   1

         1 1

       1 2 1

     1 3 3 1
Thus, (a+b)^3 =a^3 +3a^2 b +3ab^2+b^3.
And so on. Make it easy? 
 Make it easy? A few of my knowledge (sorry if very little because I was a "newbie")



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