What is the result of simplifying the expression 4x + 4y - 4y + 8?

What is the result of simplifying the expression 4x + 4y - 4y + 8?

• A. 4x + 4
• B. 4x + 8
• C. 8y + 4x
• D. 4y + 8

Answer: (B)

To simplify the expression 4x + 4y - 4y + 8, first, identify the like terms that can be combined. In this case, the terms 4y and -4y are like terms; they will cancel each other out when combined. This leaves us with just the terms 4x and 8. Now, let's rewrite the simplified expression. After combining the like terms, we have: 4x + (4y - 4y) + 8 = 4x + 0 + 8 = 4x + 8. Thus, the final simplified expression is 4x + 8, which matches the choice that states this result clearly. This process of identifying and combining like terms is crucial in algebra, as it helps to simplify expressions and solve equations efficiently.

To simplify the expression 4x + 4y - 4y + 8, first, identify the like terms that can be combined. In this case, the terms 4y and -4y are like terms; they will cancel each other out when combined. This leaves us with just the terms 4x and 8.

Now, let's rewrite the simplified expression. After combining the like terms, we have:

4x + (4y - 4y) + 8 = 4x + 0 + 8 = 4x + 8.

Thus, the final simplified expression is 4x + 8, which matches the choice that states this result clearly. This process of identifying and combining like terms is crucial in algebra, as it helps to simplify expressions and solve equations efficiently.