Multiply :
`a^(2), ab` and `b^(2)`

Answer

To solve the problem of multiplying \( a^2 \), \( ab \), and \( b^2 \), we can follow these steps:

### Step-by-Step Solution:

1. **Write down the expression**: We need to multiply the three terms together:
\[ a^2 \cdot ab \cdot b^2 \]

2. **Group the terms**: We can rearrange the multiplication for clarity:
\[ (a^2 \cdot ab) \cdot b^2 \]

3. **Multiply the first two terms**: Start by multiplying \( a^2 \) and \( ab \):
- When multiplying terms with the same base, we add the exponents:
\[ a^2 \cdot ab = a^{2+1} \cdot b^{1} = a^3 \cdot b \]

4. **Now multiply the result with \( b^2 \)**: Now we take \( a^3 \cdot b \) and multiply it by \( b^2 \):
\[ a^3 \cdot b \cdot b^2 \]
- Again, we add the exponents for \( b \):
\[ b^{1+2} = b^3 \]

5. **Combine the results**: Now we can combine the results:
\[ a^3 \cdot b^3 \]

6. **Final answer**: Thus, the final result of multiplying \( a^2 \), \( ab \), and \( b^2 \) is:
\[ a^3 b^3 \]

### Final Result:
\[ a^3 b^3 \]