Respuesta :
[tex]\begin{gathered} (4\times8)+(4\times n) \\ 32+4n \\ 4(8+n) \end{gathered}[/tex][tex]\begin{gathered} n(8+4) \\ n(12)=12n \end{gathered}[/tex][tex]\begin{gathered} (8\times n)+(8\times4) \\ 8n+32 \\ 8(n+4) \end{gathered}[/tex][tex]n(8+n)[/tex]
We just expanded and simplify the expressions in the questions.
We would be simplifying the options as well to get the equivalent options to the question
Box 1 gives
[tex]\begin{gathered} 8n+n \\ =9n \end{gathered}[/tex][tex]8(n+4)[/tex]Box 2 gives 8(n+4)
Box 3 gives
[tex]\begin{gathered} (n\times8)+(n)^2 \\ n(8+n) \end{gathered}[/tex]Box 3 gives n(8+n)
For Box 4
[tex]\begin{gathered} (n\times8)+(n\times4) \\ 8n+4n=12n \end{gathered}[/tex]Box 4 gives 12n
Compairing the questions with the given expressions in the box, it can be seen that
Hence, n(8+4)=12n is equivalent to box 4 which is (nx8)+(nx4)=12n
Also, (8xn)+(8x4)= 8(n+4) is equivalent to box 2 which is 8(n+4)
n(8+n) is equivalent to Box 3 which is (nx8)+(n)²
