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Algebra: Regneregler

Hva er kvadratsetninger?

VGS

1. kvadratsetning:

$$(\textcolor{red}{a} + \textcolor{blue}{b})^2 = \textcolor{red}{a}^2 + 2 \textcolor{red}{a} \textcolor{blue}{b} + \textcolor{blue}{b}^2$$

2. kvadratsetning:

$$(\textcolor{red}{a} - \textcolor{blue}{b})^2 = \textcolor{red}{a}^2 - 2 \textcolor{red}{a} \textcolor{blue}{b} + \textcolor{blue}{b}^2$$

3. kvadratsetning:

$$(\textcolor{red}{a} + \textcolor{blue}{b}) (\textcolor{red}{a} - \textcolor{blue}{b}) = \textcolor{red}{a}^2 - \textcolor{blue}{b}^2$$
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