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A value which is greater than or equal to |a+b|+|a-b| is
2(|a|+|b|)
||a+b|+|a-b||
2|a-b|
2|b|
\sqrt{2(a^2+b^2+|a^2-b^2|)}
2|a|
2|a+b|
(|a+b|+|a-b|)^2
2\sqrt{|a^2-b^2|}
|a+b|
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