Understanding the Basics of Algebraic Equations: Is 2x(x) = 3x or 2x(x) = 2x^2?

In summary, the conversation discusses the use of parentheses in algebraic expressions and how they represent multiplication. The expressions 2x(x) and 2x^2 are equivalent, and in algebra, multiplication is not usually shown explicitly. The conversation ends with a thank you to everyone involved.
  • #1
Cornraker
24
0
I know this is a dumb question but dumb questions are easier to fix than dumb mistakes so here goes.

Is 2x(x)= 3x

or 2x(x) = 2x^2
 
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  • #2
2x^2
 
  • #3
Cornraker said:
I know this is a dumb question but dumb questions are easier to fix than dumb mistakes so here goes.

Is 2x(x)= 3x

or 2x(x) = 2x^2

2x(x) means 2*x*x, which can be written as 2x2, as Tevion stated. This could also be written as 2xx, but is usually not written that way.

In algebraic expressions, multiplication is not usually shown explicitly, while addition (and subtraction and division) always are shown explicitly. If two expressions are next to each other, with or without parentheses, the two expressions are understood to be multiplied.

2xy = 2*x*y.
3xy + 2x = 3*x*y + 2*x.
3(xy + 2x) = 3*(xy + 2x) = 3xy + 6x.
2x + x = x(2 + 1) = x(3) = 3x
 
  • #4
2x+ x= 3x
 
  • #5
thanks everybody
 

1. What is a "brain fart" in the context of an algebra question?

A "brain fart" is a slang term used to describe a momentary lapse in mental clarity or understanding. In the context of an algebra question, it refers to a situation where a person is unable to solve a problem or remember a concept that they normally would be able to.

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There are a few reasons why people may experience "brain farts" when it comes to algebra. It could be due to stress, lack of practice, or unfamiliarity with the specific problem or concept. It could also be a result of fatigue or distraction.

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