Evaluate
\left(a+1\right)^{2}+\left(b+1\right)^{2}
Expand
a^{2}+2a+b^{2}+2b+2
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1+2a+a^{2}+\left(b+1\right)^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(1+a\right)^{2}.
1+2a+a^{2}+b^{2}+2b+1
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(b+1\right)^{2}.
2+2a+a^{2}+b^{2}+2b
Add 1 and 1 to get 2.
1+2a+a^{2}+\left(b+1\right)^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(1+a\right)^{2}.
1+2a+a^{2}+b^{2}+2b+1
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(b+1\right)^{2}.
2+2a+a^{2}+b^{2}+2b
Add 1 and 1 to get 2.
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Limits
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