Answer:
A .either an algebraic expression or a numerical value
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:
![z = 3x^2 - xy + 2xy -xy - 3x^2 + 2](https://img.qammunity.org/2022/formulas/mathematics/college/74szpkg29zpelqeltaz3n4s0j7acu0q2fq.png)
When simplified (collect like terms)
![z = 3x^2 - 3x^2- xy + 2xy -xy + 2](https://img.qammunity.org/2022/formulas/mathematics/college/faah3qded6edxig1l0s8atwaxnzpd338f5.png)
![z = 0- xy + 2xy -xy + 2](https://img.qammunity.org/2022/formulas/mathematics/college/xrwn3eswh1vrbt2xdsmjt8cm0y02ctg9nu.png)
![z = xy -xy + 2](https://img.qammunity.org/2022/formulas/mathematics/college/5g036q0967hd0cmgqdv1ql7gntmzawfzxu.png)
![z = 2](https://img.qammunity.org/2022/formulas/mathematics/college/lx7onyz09ab7rmbc00vrky9zk3sp685qg4.png)
In this case, the result is 2 (a value).
In another case:
![z = 3x^2 - xy + 2xy + 2](https://img.qammunity.org/2022/formulas/mathematics/college/5m1ay4y8ehydyox238qhxpxivnq0h6s7zc.png)
When simplified (collect like terms)
![z = 3x^2 + xy + 2](https://img.qammunity.org/2022/formulas/mathematics/college/5mvgctnqan3rkzaxic2tqqj6zpjafa4jan.png)
Here, the result is an algrbraic expression.