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

Werk uit en vereenvoudig

\((\frac{-9}{13}+x)(\frac{-15}{13}+p)\)

\(\begin{align}(\frac{-9}{13}+x)(\frac{-15}{13}+p)& =(\color{red}{x}+\color{orange}{\frac{-9}{13}}).(\color{green}{p}+\color{blue}{\frac{-15}{13}})& \text{Vereenvoud4g (verplicht!) en herschik (niet verplicht)} \\& = \color{red}{(x)} . \color{green}{(p)} + \color{red}{(x)} . \color{blue}{(\frac{-15}{13})} + \color{orange}{(\frac{-9}{13})} . \color{green}{(p)} + \color{orange}{(\frac{-9}{13})} . \color{blue}{(\frac{-15}{13})}& \text{Boogjes en uitschrijven} \\ & = px-\frac{15}{13}x-\frac{9}{13}p+\frac{9}{13}.\frac{15}{13}& \text{Uitwerken } \\ & =px-\frac{15}{13}x-\frac{9}{13}p+\frac{135}{169} & \text{Uitrekenen (Geen Smoothie!)} \\\end{align}\)