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a^{2}-2ab+b^{2}+2ab-3a^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.
a^{2}+b^{2}-3a^{2}
Combine -2ab and 2ab to get 0.
-2a^{2}+b^{2}
Combine a^{2} and -3a^{2} to get -2a^{2}.
a^{2}-2ab+b^{2}+2ab-3a^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.
a^{2}+b^{2}-3a^{2}
Combine -2ab and 2ab to get 0.
-2a^{2}+b^{2}
Combine a^{2} and -3a^{2} to get -2a^{2}.