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2\left(m^{2}+2m+1\right)-4m
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+1\right)^{2}.
2m^{2}+4m+2-4m
Use the distributive property to multiply 2 by m^{2}+2m+1.
2m^{2}+2
Combine 4m and -4m to get 0.
2\left(m^{2}+2m+1\right)-4m
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+1\right)^{2}.
2m^{2}+4m+2-4m
Use the distributive property to multiply 2 by m^{2}+2m+1.
2m^{2}+2
Combine 4m and -4m to get 0.