(a+b)^2-2ab=a^2+2ab+b^2-2ab=a^2+b^2
a^2+b^2=a^2-2ab+b^2+2ab=(a-b)^2+2ab
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(a+b)^2-2ab=a^2+2ab+b^2-2ab=a^2+b^2
a^2+b^2=a^2-2ab+b^2+2ab=(a-b)^2+2ab