Expand
2a^{2}+4a+1
Evaluate
2\left(a+1\right)^{2}-1
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2\left(a^{2}+2a+1\right)-1
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+1\right)^{2}.
2a^{2}+4a+2-1
Use the distributive property to multiply 2 by a^{2}+2a+1.
2a^{2}+4a+1
Subtract 1 from 2 to get 1.
2\left(a^{2}+2a+1\right)-1
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+1\right)^{2}.
2a^{2}+4a+2-1
Use the distributive property to multiply 2 by a^{2}+2a+1.
2a^{2}+4a+1
Subtract 1 from 2 to get 1.
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