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

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Homework Help Overview

The discussion revolves around understanding algebraic equations, specifically the expression 2x(x) and its equivalence to other forms such as 3x or 2x^2.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the interpretation of the expression 2x(x) and its simplification, questioning whether it equals 3x or 2x^2. There is a discussion on the conventions of writing multiplication in algebraic expressions.

Discussion Status

The conversation includes multiple perspectives on the expression, with some participants providing clarifications on algebraic notation and multiplication. There is no explicit consensus on the equivalence of the expressions, but guidance on understanding the notation has been shared.

Contextual Notes

Some participants express uncertainty about the notation and its implications in algebra, indicating a need for further exploration of the topic.

Cornraker
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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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2x^2
 
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
 
2x+ x= 3x
 
thanks everybody
 

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