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2\left(a^{2}-2ab+b^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.
2a^{2}-4ab+2b^{2}
Use the distributive property to multiply 2 by a^{2}-2ab+b^{2}.
2\left(a^{2}-2ab+b^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.
2a^{2}-4ab+2b^{2}
Use the distributive property to multiply 2 by a^{2}-2ab+b^{2}.