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a^{2}+8ab+16b^{2}-16b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+4b\right)^{2}.
a^{2}+8ab
Combine 16b^{2} and -16b^{2} to get 0.
a^{2}+8ab+16b^{2}-16b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+4b\right)^{2}.
a^{2}+8ab
Combine 16b^{2} and -16b^{2} to get 0.