Option (a) is correct. 2 + m - 1 + m is an equivalent expression to the given expression 3m+1-m.
Given expression 3m+1-m
We have to choose an equivalent expression from given options.
Equivalent expression are those expression that looks different but are same.
Like 4+2 = 6 and 3+ 3 = 6
Both have same value but looks differently.
Like terms are term having same variable with same degree.
Consider the given expression 3m+1-m
Simplify by adding like terms,
3m + 1 - m = (3-1) m + 1
Thus, (3-1) m + 1 = 2m + 1
Also 2m + 1 can be written as m + m + 2 - 1
Thus, option (a) is correct.
Question
Which expression is equivalent to 3m+1-m?
A. 2+m-1+m
B. 1+m
C. 3m-1
D. 3m