Werk uit en vereenvoudig
\((q+\frac{-5}{20})(\frac{20}{3}+p)\)
\(\begin{align}(q+\frac{-5}{20})(\frac{20}{3}+p)& =(\color{red}{q}+\color{orange}{\frac{-1}{4}}).(\color{green}{p}+\color{blue}{\frac{20}{3}})& \text{Vereenvoud2g (verplicht!) en herschik (niet verplicht)} \\& = \color{red}{(q)} . \color{green}{(p)} + \color{red}{(q)} . \color{blue}{(\frac{20}{3})}
+ \color{orange}{(\frac{-1}{4})} . \color{green}{(p)} + \color{orange}{(\frac{-1}{4})} . \color{blue}{(\frac{20}{3})}& \text{Boogjes en uitschrijven} \\ & = pq+\frac{20}{3}q-\frac{1}{4}p-\frac{1}{4}.\frac{20}{3}& \text{Uitwerken } \\ & =pq+\frac{20}{3}q-\frac{1}{4}p-\frac{20}{12} & \text{Uitrekenen (Geen Smoothie!)} \\ & = pq+\frac{20}{3}q-\frac{1}{4}p-\frac{5}{3} & \text{Vereenvoudig} \\\end{align}\)