Classify into monomials, binomials and trinomials:
`2x^(2) + y(2) - xy`

Answer

To classify the expression \(2x^2 + y(2) - xy\) into monomials, binomials, and trinomials, we will follow these steps:

### Step 1: Understand the Definitions
- **Monomial**: An expression that contains only one term.
- **Binomial**: An expression that contains two terms.
- **Trinomial**: An expression that contains three terms.

### Step 2: Identify the Terms in the Given Expression
The given expression is:
\[ 2x^2 + y(2) - xy \]

First, we can simplify \(y(2)\) to \(2y\). Thus, the expression can be rewritten as:
\[ 2x^2 + 2y - xy \]

### Step 3: Count the Number of Terms
Now, we will identify the individual terms in the expression:
1. \(2x^2\)
2. \(2y\)
3. \(-xy\)

### Step 4: Determine the Type of Expression
We have identified three distinct terms in the expression:
- \(2x^2\)
- \(2y\)
- \(-xy\)

Since there are three terms, according to the definition, this expression is classified as a **trinomial**.

### Final Answer
The expression \(2x^2 + y(2) - xy\) is a **trinomial**.

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