Assertion : `10pq^(2)-7q^(2)2pq-4q^(2)p^(2)+3` is an algebraic expression.
Reason : Algebraic expressions are formed from variables and constants. We use the operations of addition, subtraction, multiplication and division on the variables and constants to form expressions.

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

### Step 1: Understand the Assertion
The assertion states that `10pq² - 7q² + 2pq - 4q²p² + 3` is an algebraic expression.

### Step 2: Identify Components of the Expression
An algebraic expression is formed from variables (like p and q) and constants (like 10, -7, -4, and 3).

### Step 3: Check the Operations Used
Algebraic expressions can include operations such as addition, subtraction, multiplication, and division. The expression provided uses:
- Addition (e.g., `+ 3`)
- Subtraction (e.g., `- 7q²`)
- Multiplication (e.g., `10pq²`)

### Step 4: Confirm the Definition of Algebraic Expressions
According to the definition, algebraic expressions are indeed formed from variables and constants using the mentioned operations.

### Step 5: Analyze the Reason
The reason states that algebraic expressions are formed from variables and constants, and we use operations of addition, subtraction, multiplication, and division to form expressions. This aligns perfectly with the assertion.

### Conclusion
Both the assertion and the reason are correct. The reason correctly explains why the assertion is true.

### Final Answer
Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.

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