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m^{2}+4m+4+4\left(2-m\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+2\right)^{2}.
m^{2}+4m+4+8-4m
Use the distributive property to multiply 4 by 2-m.
m^{2}+4m+12-4m
Add 4 and 8 to get 12.
m^{2}+12
Combine 4m and -4m to get 0.
m^{2}+4m+4+4\left(2-m\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+2\right)^{2}.
m^{2}+4m+4+8-4m
Use the distributive property to multiply 4 by 2-m.
m^{2}+4m+12-4m
Add 4 and 8 to get 12.
m^{2}+12
Combine 4m and -4m to get 0.