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