1)
[tex](2-m)^2=4-4m+m^2\\\\4-m^2\neq (2-m)^2[/tex]
2)
[tex]|-m|=\begin{cases}-m\ \ \ m\geq 0\\ m\ \ \ \ \ m < 0 \end{cases}[/tex]
[tex]|-m|\neq m[/tex]
3)
[tex](m+2)(m^2+4)=m^3+4m+2m^2+8\\\\m^3+8\neq (m+2)(m^2+4)[/tex]
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Answers & Comments
1)
[tex](2-m)^2=4-4m+m^2\\\\4-m^2\neq (2-m)^2[/tex]
2)
[tex]|-m|=\begin{cases}-m\ \ \ m\geq 0\\ m\ \ \ \ \ m < 0 \end{cases}[/tex]
[tex]|-m|\neq m[/tex]
3)
[tex](m+2)(m^2+4)=m^3+4m+2m^2+8\\\\m^3+8\neq (m+2)(m^2+4)[/tex]