Write all the terms of each of the following algebraic expressions :
`3xyz-(2)/(x^(2))+5xy^(2)-7z^(3)+5x`

Answer

To write all the terms of the given algebraic expression \(3xyz - \frac{2}{x^2} + 5xy^2 - 7z^3 + 5x\), we will identify each individual term in the expression.

### Step-by-Step Solution:

1. **Identify the Expression**: We start with the expression:
\[ 3xyz - \frac{2}{x^2} + 5xy^2 - 7z^3 + 5x \]

2. **Separate the Terms**: The expression consists of several terms. We will separate them based on the '+' and '-' signs:
- The first term is \(3xyz\).
- The second term is \(-\frac{2}{x^2}\).
- The third term is \(5xy^2\).
- The fourth term is \(-7z^3\).
- The fifth term is \(5x\).

3. **List All Terms**: Now we will list all the identified terms:
- Term 1: \(3xyz\)
- Term 2: \(-\frac{2}{x^2}\)
- Term 3: \(5xy^2\)
- Term 4: \(-7z^3\)
- Term 5: \(5x\)

4. **Final Answer**: Therefore, the terms of the expression are:
- \(3xyz\)
- \(-\frac{2}{x^2}\)
- \(5xy^2\)
- \(-7z^3\)
- \(5x\)

### Summary of Terms:
- \(3xyz\)
- \(-\frac{2}{x^2}\)
- \(5xy^2\)
- \(-7z^3\)
- \(5x\)

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