Identify monomials, binomials and trinomials from the following algebraic expressions :
`3-:a-2xxb+c`

Answer

To identify monomials, binomials, and trinomials from the given algebraic expression \( \frac{3}{a} - 2b + c \), we can follow these steps:

### Step 1: Rewrite the Expression
The given expression is \( \frac{3}{a} - 2b + c \). We can rewrite it for clarity:
\[ \frac{3}{a} - 2b + c \]

### Step 2: Identify the Terms
In the rewritten expression, we can identify the individual terms:
1. The first term is \( \frac{3}{a} \).
2. The second term is \( -2b \).
3. The third term is \( +c \).

### Step 3: Count the Terms
Now, we count the number of terms in the expression:
- There are 3 distinct terms: \( \frac{3}{a} \), \( -2b \), and \( +c \).

### Step 4: Classify the Expression
Since there are three terms in the expression, we classify it as follows:
- A **monomial** has 1 term.
- A **binomial** has 2 terms.
- A **trinomial** has 3 terms.

Given that our expression has 3 terms, we conclude that:
\[ \text{The expression } \frac{3}{a} - 2b + c \text{ is a trinomial.} \]

### Final Answer
The expression \( \frac{3}{a} - 2b + c \) is a **trinomial**.

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