Minimum of the given expression – math.stackexchange.com

Minimum of the given expression – math.stackexchange.com

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For all real numbers $a$ and $b$ find the minimum of the following expression. $$(a-b)^2 + (2-a-b)^2 + (2a-3b)^2$$ I tried expressing the entire expression in terms of a single function of $a$ and ...

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