Solve (m+n)(4+?) = n²+mn+4m+4n: Find the Missing Term

Complete the missing element

$(m+n)(4+?)=n^2+mn+4m+4n$

To solve this problem, we'll apply the distributive property to expand and match the expressions:

• Step 1: Expand $(m+n)(4+?)$ using distributive property: $(m+n)(4+n) = m(4+n) + n(4+n)$.
• Step 2: This gives us $4m + mn + 4n + n^2$.
• Step 3: Compare this to the expression $n^2 + mn + 4m + 4n$.

The expanded expression matches the target expression, so the missing term in $(m+n)(4+?)$ is indeed $n$.

Therefore, the complete expression is $(m+n)(4+n)$.