Which expression is equivalent to a-9a+3

Which expression is equivalent to a-9a+3

The correct answer and explanation is:

The expression equivalent to a−9a+3a – 9a + 3 is −8a+3-8a + 3.

Explanation:

To simplify the expression a−9a+3a – 9a + 3, follow these steps:

1. Identify Like Terms: The terms that involve the variable aa are aa and −9a-9a. These are considered like terms because they both contain the variable aa.
2. Combine Like Terms: Add or subtract the coefficients of the like terms. The coefficient of aa in the first term is 1 (since aa is the same as 1a1a), and the coefficient of aa in the second term is -9. So, combine these coefficients: 1a−9a=−8a1a – 9a = -8a
3. Write the Result: After combining the like terms, the expression becomes: −8a+3-8a + 3 Here, the term −8a-8a represents the result of combining the aa-terms, and the 3 remains as it is because it is not a like term with the aa-terms (it is a constant).

Thus, the simplified expression is −8a+3-8a + 3.

In summary, when simplifying expressions, always look for like terms that can be combined. In this case, combining the terms involving aa results in −8a-8a, and the constant term 3 remains unchanged.