Classify into monomials, binomials and trinomials.
`a^(2) + b^(2)`

Answer

To classify the expression \( a^2 + b^2 \) into monomials, binomials, or trinomials, we can follow these steps:

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

### Step 2: Identify the Terms in the Expression
The given expression is \( a^2 + b^2 \). We need to identify how many terms are present in this expression.

### Step 3: Count the Terms
In the expression \( a^2 + b^2 \):
- The first term is \( a^2 \).
- The second term is \( b^2 \).

### Step 4: Determine the Type of Expression
Since there are two distinct terms (\( a^2 \) and \( b^2 \)) in the expression, we classify it as a binomial.

### Final Answer
The expression \( a^2 + b^2 \) is a **binomial**.

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