Evaluate
\left(a+b\right)^{2}-a+1
Expand
a^{2}+2ab-a+b^{2}+1
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a^{2}+2ab+b^{2}-\left(a-1\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
a^{2}+2ab+b^{2}-a+1
To find the opposite of a-1, find the opposite of each term.
a^{2}+2ab+b^{2}-\left(a-1\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
a^{2}+2ab+b^{2}-a+1
To find the opposite of a-1, find the opposite of each term.
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