Inleiding veeltermen

\((\frac{11}{15}-p)(\frac{-13}{3}-p)\)

\(\begin{align}(\frac{11}{15}-p)(\frac{-13}{3}-p)& =(\color{red}{-p}+\color{orange}{\frac{11}{15}}).(\color{green}{-p}+\color{blue}{\frac{-13}{3}})& \text{Vereenvoud4g (verplicht!) en herschik (niet verplicht)} \\& = \color{red}{(-p)} . \color{green}{(-p)} + \color{red}{(-p)} . \color{blue}{(\frac{-13}{3})} + \color{orange}{(\frac{11}{15})} . \color{green}{(-p)} + \color{orange}{(\frac{11}{15})} . \color{blue}{(\frac{-13}{3})}& \text{Boogjes en uitschrijven} \\ & = pp+\frac{13}{3}p-\frac{11}{15}p-\frac{11}{15}.\frac{13}{3}& \text{Uitwerken } \\ & =p^2+(\frac{13}{3}+(\frac{-11}{15}))p-(\frac{-143}{45}) & \text{Neem samen} \\ &=p^2+\frac{54}{15}p-(\frac{-143}{45}) & \text{Maak de som} \\ &=p^2+\frac{18}{5}p+\frac{143}{45} & \text{Vereenvoudig indien mogelijk 1} \\\end{align}\)