Question

match the like terms
-9b^3 6.2n^2 18n 6b^2 1.4b -11b^2 -5.45n^2 6.2

Answer 1

To match the like terms from the list you provided, we can group them based on their variable types and exponents. Here’s the breakdown:

1. **Terms with \(b^3\)**:
- \(-9b^3\)

2. **Terms with \(b^2\)**:
- \(6b^2, -11b^2\)

3. **Terms with \(n^2\)**:
- \(6.2n^2, -5.45n^2\)

4. **Terms with \(n\)**:
- \(18n\)

5. **Constant terms**:
- \(6.2, 1.4b\)

Now, we can write them grouped together for clarity:

- **\(b^3\) terms**: \(-9b^3\)

- **\(b^2\) terms**: \(6b^2, -11b^2\)

- **\(n^2\) terms**: \(6.2n^2, -5.45n^2\)

- **\(n\) term**: \(18n\)

- **Constant term**: \(6.2\)

- **\(b\) term**: \(1.4b\)

This is how the terms can be matched and grouped together based on their variables and exponents.