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

Werk uit en vereenvoudig

\((\frac{10}{16}+x)(p-\frac{-15}{13})\)

\(\begin{align}(\frac{10}{16}+x)(p-\frac{-15}{13})& =(\color{red}{x}+\color{orange}{\frac{5}{8}}).(\color{green}{p}+\color{blue}{\frac{15}{13}})& \text{Vereenvoud3g (verplicht!) en herschik (niet verplicht)} \\& = \color{red}{(x)} . \color{green}{(p)} + \color{red}{(x)} . \color{blue}{(\frac{15}{13})} + \color{orange}{(\frac{5}{8})} . \color{green}{(p)} + \color{orange}{(\frac{5}{8})} . \color{blue}{(\frac{15}{13})}& \text{Boogjes en uitschrijven} \\ & = px+\frac{15}{13}x+\frac{5}{8}p+\frac{5}{8}.\frac{15}{13}& \text{Uitwerken } \\ & =px+\frac{15}{13}x+\frac{5}{8}p+\frac{75}{104} & \text{Uitrekenen (Geen Smoothie!)} \\\end{align}\)