Complete the missing element
(m+n)(4+?)=n2+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+n2.
- Step 3: Compare this to the expression n2+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).