Question

Select all the like terms in the following expression.

2a + 5 - 3a + 10a + 5a2

-3a

5a2

2a

5

10a

Answer 1

To identify the like terms in the expression \(2a + 5 - 3a + 10a + 5a^2\), we need to group the terms that have the same variable and exponent.

1. **Terms with \(a\)**:
- \(2a\)
- \(-3a\)
- \(10a\)

Together, these can be grouped as \(2a, -3a, 10a\).

2. **Terms with \(a^2\)**:
- \(5a^2\)

3. **Constant terms**:
- \(5\) (this is a constant term)

Now we can label the provided options based on this grouping:

- **Like terms** (terms that can be combined):
- \(2a\)
- \(-3a\)
- \(10a\)

- **Unlike terms**:
- \(5a^2\) (different degree)
- \(5\) (constant)

In summary, the like terms from the provided options are:
- \(2a\)
- \(-3a\)
- \(10a\)

So the final selection of like terms from the options provided would be:
- \(2a\)
- \(-3a\)
- \(10a\)
(Note: \(-3a\) was not listed in the options explicitly, so the relevant choices from the options alone would just be \(2a\) and \(10a\).)