Question

n + 1) - 1 and 2(2m + 2) + m equivalent? show why or why not.
ession 5(m + 1) - 1. \t simplify the second expression
\t\t\t\t\t\t\t\t\t2(2m + 2) + m.
+ 4 \t\t\t\t\t\t\t\t\t2(2m + 2) + m = \square m + ?

Explanation:

Step1: Distribute the 2

To simplify \(2(2m + 2)\), we use the distributive property \(a(b + c)=ab+ac\). So, \(2\times2m + 2\times2 = 4m + 4\).

Step2: Combine like terms

Now we have \(4m + 4 + m\). Combining the \(m\) terms: \(4m + m = 5m\), and the constant term remains 4. So the simplified expression is \(5m + 4\).

Answer:

For the coefficient of \(m\): \(5\), and the constant term: \(4\). So \(2(2m + 2)+m = \boldsymbol{5}m + \boldsymbol{4}\)