What is the result of simplifying 10b - 4b + 8?

• A. 10b + 8
• B. 6b + 8
• C. 14b + 8
• D. 4b + 8

Answer: (B)

To simplify the expression 10b - 4b + 8, we start by identifying and combining like terms. Like terms are terms that have the same variable raised to the same power.

In this expression, we have two terms that contain the variable b: 10b and -4b. To combine these like terms, we perform the following calculation:

10b - 4b = (10 - 4)b = 6b.

After combining the like terms, we still have the constant term, which is 8. Therefore, the expression now looks like this:

6b + 8.

This shows that the correct simplified form of the original expression is indeed 6b + 8.

The constants remain unaffected by the variable terms, and therefore we simply add the remaining 8 after combining the b terms. As a result, the final answer is 6b + 8.