Question

identify an expression that is equivalent to each given expression drag an a equivalent expression into each box (4×8)+(4×n)n(8+4)(8×n)+(8×4)n(8+n)I need to identify an expression that are equivalent to these expressions

Answer 1

`\begin{gathered} (4*8)+(4* n) \\ 32+4n \\ 4(8+n) \end{gathered}`
`\begin{gathered} n(8+4) \\ n(12)=12n \end{gathered}`
`\begin{gathered} (8* n)+(8*4) \\ 8n+32 \\ 8(n+4) \end{gathered}`
`n(8+n)`

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

`\begin{gathered} 8n+n \\ =9n \end{gathered}`
`8(n+4)`

Box 2 gives 8(n+4)

Box 3 gives

`\begin{gathered} (n*8)+(n)^2 \\ n(8+n) \end{gathered}`

Box 3 gives n(8+n)

For Box 4

`\begin{gathered} (n*8)+(n*4) \\ 8n+4n=12n \end{gathered}`

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