Lösung 2.3:1a

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If we consider the rule

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and move \displaystyle a^{2} over to the left-hand side, we obtain the formula

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With the help of this formula, we can rewrite (complete the square of) a mixed expression \displaystyle x^{2}-2ax to a obtain a quadratic expression, \displaystyle (x-a)^{2}-a^{2}.

The expression \displaystyle x^{2}-2x corresponds to \displaystyle a=1 in the formula above and thus

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