Algebra: Regneregler
Hva er kvadratsetninger?
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:
$$(\textcolor{red}{a} + \textcolor{blue}{b}) (\textcolor{red}{a} - \textcolor{blue}{b}) = \textcolor{red}{a}^2 - \textcolor{blue}{b}^2$$