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3a^{2}+2a+1
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3a^{2}+2a+1
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4a^{2}+4a+1-a\left(a+2\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+1\right)^{2}.
4a^{2}+4a+1-\left(a^{2}+2a\right)
Use the distributive property to multiply a by a+2.
4a^{2}+4a+1-a^{2}-2a
To find the opposite of a^{2}+2a, find the opposite of each term.
3a^{2}+4a+1-2a
Combine 4a^{2} and -a^{2} to get 3a^{2}.
3a^{2}+2a+1
Combine 4a and -2a to get 2a.
4a^{2}+4a+1-a\left(a+2\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+1\right)^{2}.
4a^{2}+4a+1-\left(a^{2}+2a\right)
Use the distributive property to multiply a by a+2.
4a^{2}+4a+1-a^{2}-2a
To find the opposite of a^{2}+2a, find the opposite of each term.
3a^{2}+4a+1-2a
Combine 4a^{2} and -a^{2} to get 3a^{2}.
3a^{2}+2a+1
Combine 4a and -2a to get 2a.
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Limits
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