Answer:
[tex](m + 2)^{2} - m^{2} - 12 = 4(m - 2)[/tex]
Step-by-step explanation:
Step 1:
Write the expression
[tex](m+2)^{2} - m^{2} - 12[/tex]
Step 2: Expand [tex](m + 2)^{2}[/tex]
[tex](m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12[/tex]
Step 3: Collect similar terms
[tex]m^{2} - m^{2} + 4m + 4 - 12\\4m - 8[/tex]
Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.
[tex]Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)[/tex]
