Identify monomials, binomials and trinomials from the following algebraic expressions:
`7b^(2) xx a^(3)b`

Answer

To identify whether the given algebraic expression is a monomial, binomial, or trinomial, we will follow these steps:

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

### Step 2: Analyze the given expression
The expression provided is:
\[ 7b^2 \times a^3b \]

### Step 3: Simplify the expression
We can rewrite the expression by multiplying the terms:
\[ 7b^2 \times a^3b = 7a^3b^2b \]

### Step 4: Combine like terms
When we multiply \( b^2 \) and \( b \), we add the exponents:
\[ b^2 \times b = b^{2+1} = b^3 \]

So, the expression simplifies to:
\[ 7a^3b^3 \]

### Step 5: Identify the type of expression
Now, we check how many terms are in the simplified expression:
- The expression \( 7a^3b^3 \) consists of only one term.

### Conclusion
Since the simplified expression has only one term, it is classified as a **monomial**.

### Final Answer
The expression \( 7b^2 \times a^3b \) is a **monomial**.

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