Answer:
This question is asking us to solve both of these equations, so let's do exactly that!
First equation:
[tex]n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2[/tex]
Second Equation:
[tex](n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2[/tex]
Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).
Hope that helped! :)
