Final answer:
After simplifying each expression, it is clear that option d. 4(4m+4) is not equivalent to the other expressions, which all simplify to 4m+8.
Step-by-step explanation:
The student has asked to identify the expression which is not equivalent to the others from the following options:
- a. 4m+8
- b. 4(m+2)
- c. 2+2m+m+6+m
- d. 4(4m+4)
To determine which expression is not equivalent to the others, we must simplify and compare them.
- For a, the expression is already simplified: 4m + 8.
- For b, distribute the 4: the simplified expression is 4m + 8.
- For c, combine like terms: the simplified expression is 4m + 8.
- For d, distribute the 4: the simplified expression is 16m + 16, which is not equivalent to the others.
Thus, the answer is d. 4(4m+4) as it is not equivalent to the rest of the given expressions.