what is the result if an algebraic expression is simplified?

A .either an algebraic expression or a numerical value
B.an algebraic expression
C.a numerical value
D .none of these​

Respuesta :

Answer:

A .either an algebraic expression or a numerical value

Step-by-step explanation:

Required

The result of simplifying an algebraic expression

The result could be a value of an expression and the proof is as follows:

Let the expression be:

[tex]z = 3x^2 - xy + 2xy -xy - 3x^2 + 2[/tex]

When simplified (collect like terms)

[tex]z = 3x^2 - 3x^2- xy + 2xy -xy + 2[/tex]

[tex]z = 0- xy + 2xy -xy + 2[/tex]

[tex]z = xy -xy + 2[/tex]

[tex]z = 2[/tex]

In this case, the result is 2 (a value).

In another case:

[tex]z = 3x^2 - xy + 2xy + 2[/tex]

When simplified (collect like terms)

[tex]z = 3x^2 + xy + 2[/tex]

Here, the result is an algrbraic expression.