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GP's Two guides to Simplification and Distributive Properties

GamerPaladin332

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GUIDE #1 Algebra Distributive properties:

The Distributive Property lets you multiply a sum by multiplying each addend separately
and then add the products. The Distributive Property helps with mental math, if you have
kids you should be teaching them this... It helps later on in life. Trust me 9th grade algebra
sucked.


Example:
a(b + c) = ab + ac


To multiply in algebra, you'll use the distributive law:
3x(x+4)

= 3x(x) + 3x(4)

=3x to the second +12x


You can use the distributive Property to multiply a polynomial (2) by a monomial (1). You can use the distributive property to divide a polynomial by a monomial. Each term is divided by the monomial. You can also use the distributive property to find the product of binomials.


Right here kiddies!

(x + y)(x + 2y)

=(x + y)x + (x + y)(2y)

=x^2+xy +2xy 2y2

=x2 + 3xy +2y2


Let's try one more:
2y(y-3)-3y(y+2)
=2y^2-6y-3y2-6y
=-y^2-12y


GUIDE #2 Simplification in algebra:

Whenever a problem can be simplified, you should simplify it before substituting numbers for the letters. This will make your job a lot easier! To simplify an algebraic expression:
2(3x)+x(1-4x)+5



1. Clear the parentheses.
2 times 3x+x1-4x+5

Combine like terms by adding coefficients.
6x+1x-4x+5

Combine terms for final answer.
3x+5


This guide is an easy simple way to ace simplification.
Hope this helps, I'm really not good at explaining or math.


LIKE I SAID MATH ISN'T MY FORTE SO I REALLY DON'T KNOW HOW TO ELABORATE MORE ON SIMPLIFICATION.
 
If I end up using Distributive Properties in math this semester, I will turn to this guide. I got lost at the first few lines...
I find a guide like this hard to understand, may take sometime.
5/10
 
Very simple guide,
easy to google as well.
Something a student SHOULD learn in their math class,
unless you want to learn it early.
Good examples,
Pictures weren't really needed in here, seeing how there is no way to use them really.
Could have went into more detail on simplification.

I also believe you could have mentioned a few more other things for this guide, and made a guide for basic algebra.

Other then that good job, would recommend the distributive property section in this guide.
 
A big thing I noticed is you don't know how to put on a computer the superscript for say "x squared". To type something like this, whether it be on a computer or on a TI series calculator, you should note it as "x^2". The ^ caret symbol represents that the term(s) following it is the exponent. Let's say, for advanced math's sake, you have something like x raised to the power of 3x+12. You would note that as x^(3x+12). As soon as you have more than one term in the exponent, you should insert parenthesis in the front and back of the WHOLE exponential term. Hopefully that helps to some degree.

Also, if you want your application moved, you must pm an HUE (Either PEN or myself). There is a sticky in the application section that states this.
 
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