What do you get when you combine 8abc, 2a, -3abc, and 9?

What do you get when you combine 8abc, 2a, -3abc, and 9?

• A. 5abc + 2a + 9
• B. 5a + 9
• C. 10abc + 2a
• D. 4abc + 2a + 9

Answer: (A)

When combining the terms 8abc, 2a, -3abc, and 9, you first identify which terms are like terms. Like terms are those that have the same variables raised to the same powers. In this case, you have three types of terms: 1. The terms with "abc": 8abc and -3abc. 2. The term with "a": 2a. 3. The constant term: 9. To combine the terms with "abc," you take 8abc and subtract 3abc, which gives you: 8abc - 3abc = 5abc. Next, you simply retain the 2a as it doesn't combine with any other terms, and the constant 9 also remains as it is. Thus, the final result after combining all the like terms is: 5abc + 2a + 9. The correct choice accurately reflects this process, showing the sum of all the like terms combined together clearly and correctly.

When combining the terms 8abc, 2a, -3abc, and 9, you first identify which terms are like terms. Like terms are those that have the same variables raised to the same powers. In this case, you have three types of terms:

1. The terms with "abc": 8abc and -3abc.

2. The term with "a": 2a.

3. The constant term: 9.

To combine the terms with "abc," you take 8abc and subtract 3abc, which gives you:

8abc - 3abc = 5abc.

Next, you simply retain the 2a as it doesn't combine with any other terms, and the constant 9 also remains as it is. Thus, the final result after combining all the like terms is:

5abc + 2a + 9.

The correct choice accurately reflects this process, showing the sum of all the like terms combined together clearly and correctly.