Distributiviteit \((a+r)(b+s)\)

Werk uit en vereenvoudig

\((\frac{11}{14}+a)(\frac{-14}{6}+b)\)

\(\begin{align}(\frac{11}{14}+a)(\frac{-14}{6}+b)& =(\color{red}{a}+\color{orange}{\frac{11}{14}}).(\color{green}{b}+\color{blue}{\frac{-7}{3}})& \text{Vereenvoud4g (verplicht!) en herschik (niet verplicht)} \\& = \color{red}{(a)} . \color{green}{(b)} + \color{red}{(a)} . \color{blue}{(\frac{-7}{3})} + \color{orange}{(\frac{11}{14})} . \color{green}{(b)} + \color{orange}{(\frac{11}{14})} . \color{blue}{(\frac{-7}{3})}& \text{Boogjes en uitschrijven} \\ & = ab-\frac{7}{3}a+\frac{11}{14}b-\frac{11}{14}.\frac{7}{3}& \text{Uitwerken } \\ & =ab-\frac{7}{3}a+\frac{11}{14}b-\frac{77}{42} & \text{Uitrekenen (Geen Smoothie!)} \\ & = ab-\frac{7}{3}a+\frac{11}{14}b-\frac{11}{6} & \text{Vereenvoudig} \\\end{align}\)