The Distributive Property with Variables in Algebra & Simplifying Expressions - [7-2-1]

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In this lesson, you will learn how to use the distributive property and apply it to situations where variables are present in an algebraic expression. We first review the distributive property, using it to multiply the outside term into the parenthesis. After this, we learn how to identify the like terms and simplify the result. We use this very often when solving equations in Algebra.

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you explained the distributive property very well bro, great job

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[@hemarajue2736]

I think distributive property works because the expression inside the parentheses has lower priority than outside term i.e multiplication over addition or subtraction.
Multiplication of two binomials by FOIL method infact uses distributive property.
(a+b)(a-b)=a(a-b)+b(a-b)
=a^2-ab+ab-b^2=a^2-b^2.

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Talking about 1/2, I know that 1/2 is the sin of 30 deg. said it 25 thousand times, till I know.
Sin of 30 is 1/2.

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(2.x)+(2.3)

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(30)-(5h)

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(8.c)+(8.6)

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(8c)+(48)

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(xy)+(2x)

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2(x+3)

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3(b-3)

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30-5h

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2x+6

[@robertwatson818]

No more clear now than in high school. It seems to presume certain prior knowledge.

[@MathAndScience]

Well that is definitely true. Every concept in math assumes prior knowledge. Even adding numbers together assumes prior knowledge of knowing what the number is. And I’m not trying to be snarky and being completely serious. In this case I’ve already covered the distributive property many times before using only numbers with no variables at all. I recommend watching that and then coming back to this lesson if you wish. Thanks and have a great day, jason

[@robertwatson818]

Seems to have no relationship to previous math@@MathAndScience I made solid grades in math until Algebra. Full stop. After day one I was lost and stayed there for three years---failing to graduate because I could not pass Algebra. None of the terms they used were familiar and seemed to have no relationship to any previous math I learned. Today it is no different. None of this makes any sense and seems to require previous knowledge from somewhere. What I do get is that what I was told is addition--is actually distribution.

[@simpleman283]

@@soap3044 That is a good explanation, but.
It is actually 5x3
5 groups of 3
5 people with 3 apples each = 5x3=15

[@simpleman283]

@@soap3044 Commutative property brings about socialism. Understanding placement and groups is important in mathematics and in life in general.
3x5
is not the same as
5x3
no matter the outcome.
My words were not nice.

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variable

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10

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