Inleiding veeltermen

\((p+\frac{7}{2})(\frac{-1}{20}-p)\)

\(\begin{align}(p+\frac{7}{2})(\frac{-1}{20}-p)& =(\color{red}{p}+\color{orange}{\frac{7}{2}}).(\color{green}{-p}+\color{blue}{\frac{-1}{20}})& \text{Vereenvoud2g (verplicht!) en herschik (niet verplicht)} \\& = \color{red}{(p)} . \color{green}{(-p)} + \color{red}{(p)} . \color{blue}{(\frac{-1}{20})} + \color{orange}{(\frac{7}{2})} . \color{green}{(-p)} + \color{orange}{(\frac{7}{2})} . \color{blue}{(\frac{-1}{20})}& \text{Boogjes en uitschrijven} \\ & = -pp-\frac{1}{20}p-\frac{7}{2}p-\frac{7}{2}.\frac{1}{20}& \text{Uitwerken } \\ & =-p^2+((\frac{-1}{20})+(\frac{-7}{2}))p-\frac{7}{40} & \text{Neem samen} \\ &=-p^2-\frac{71}{20}p-\frac{7}{40} & \text{Maak de som} \\\end{align}\)