Consider the expression `(3)/(2)x^(2)y-(1)/(2)xy^(2)+6x^(2)y^(2)`
How many ters are there ? What do you cell such an expression?

Answer

To solve the question, we will analyze the given expression step by step.

### Step 1: Identify the expression
The expression given is:
\[ \frac{3}{2}x^2y - \frac{1}{2}xy^2 + 6x^2y^2 \]

### Step 2: Count the terms
A term in an algebraic expression is a part that is separated by a plus (+) or minus (−) sign. In our expression, we can identify the terms as follows:
1. \(\frac{3}{2}x^2y\) (first term)
2. \(-\frac{1}{2}xy^2\) (second term)
3. \(6x^2y^2\) (third term)

### Step 3: Conclusion on the number of terms
From the above identification, we see that there are a total of 3 terms in the expression.

### Step 4: Classify the expression
Since the expression contains 3 terms, we classify it as a trinomial. A polynomial with three terms is called a trinomial.

### Final Answer
- The number of terms in the expression is **3**.
- This expression is called a **trinomial**.

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