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\alpha ^{2}-2\alpha \beta +\beta ^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\alpha -\beta \right)^{2}.
\alpha ^{2}-2\alpha \beta +\beta ^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\alpha -\beta \right)^{2}.