Assertion : In algebraic expression `2y^(2)+3yz-y^(2)-yz+z^(2)-xyz, 2y^(2), 3yz, y^(2), yz, z^(2)` and xyz are terms of expression.
Reason : Expressions are made up of terms. Terms are added to make an expression.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the assertion and reason question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
The assertion states that in the algebraic expression \(2y^2 + 3yz - y^2 - yz + z^2 - xyz\), the terms mentioned (i.e., \(2y^2\), \(3yz\), \(y^2\), \(yz\), \(z^2\), and \(xyz\)) are considered terms of the expression.

**Hint**: Identify the terms in the expression by separating them based on the addition and subtraction operations.

2. **Identifying the Terms**:
The expression \(2y^2 + 3yz - y^2 - yz + z^2 - xyz\) can be broken down into the following terms:
- \(2y^2\)
- \(3yz\)
- \(-y^2\) (which is the same as \(+(-1)y^2\))
- \(-yz\) (which is the same as \(+(-1)yz\))
- \(z^2\)
- \(-xyz\) (which is the same as \(+(-1)xyz\))

Therefore, the terms of the expression are \(2y^2\), \(3yz\), \(-y^2\), \(-yz\), \(z^2\), and \(-xyz\).

**Hint**: Count the number of distinct terms and check if they match the assertion.

3. **Evaluating the Assertion**:
The assertion claims that \(y^2\) and \(yz\) are terms of the expression. However, in the context of the expression, \(-y^2\) and \(-yz\) are the actual terms present. Therefore, the assertion is incorrect because it does not accurately represent the terms in the expression.

**Hint**: Compare the terms listed in the assertion with the actual terms identified.

4. **Understanding the Reason**:
The reason states that expressions are made up of terms and that terms are added to make an expression. This is a true statement because any algebraic expression is indeed a combination of terms that are added or subtracted.

**Hint**: Reflect on the definition of an algebraic expression and how it is constructed from terms.

5. **Conclusion**:
Since the assertion is false (the terms listed do not accurately represent the terms in the expression), but the reason is true (expressions are made of terms), we conclude that the correct answer is that the assertion is false and the reason is true.

**Final Answer**: Assertion is false, but reason is true.