Respuesta :
Two algebraic expressions that have the same value for all values of their variable(s) are called Equivalent expression.
Algebraic expression is an expression which is made up of variables and constants along with algebraic operation (addition, subtraction etc. )
Variables are values that can change over time.
Constant are the quantities that have fixed numerical value.
Two algebraic expression are equivalent expression if they have the same value for all values of their variable(s).
Equivalent algebraic expression are those expression which on simplification give the same resulting expression.
or
Two expression are said to be equivalent if their values obtained by substituting the values of the variable are same
For example:
Let,
[tex]f(x)=3(x+2)\\g(x)=3x+6[/tex]
Substituting the [tex]x=4[/tex] in the both equation..
[tex]f(x)=3(x+2)=3(4+2)=3(6)=3*6=18[/tex]
[tex]g(x)=3x+6=3*4+6=12+6=18[/tex]
[tex]3(x+2)[/tex] and [tex]3x+6[/tex] are the equivalent expression because the value of both equation remain same for any value of [tex]x[/tex]
Two algebraic expressions that have the same value for all values of their variable(s) are called Equivalent expression.
To learn more about the algebraic equivalent expression here
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