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4n^{2}+8n+4-\left(2n\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2n+2\right)^{2}.
4n^{2}+8n+4-2^{2}n^{2}
Expand \left(2n\right)^{2}.
4n^{2}+8n+4-4n^{2}
Calculate 2 to the power of 2 and get 4.
8n+4
Combine 4n^{2} and -4n^{2} to get 0.
4n^{2}+8n+4-\left(2n\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2n+2\right)^{2}.
4n^{2}+8n+4-2^{2}n^{2}
Expand \left(2n\right)^{2}.
4n^{2}+8n+4-4n^{2}
Calculate 2 to the power of 2 and get 4.
8n+4
Combine 4n^{2} and -4n^{2} to get 0.