Multipliziere $$$\left(x + 5\right) \left(x - 2\right)$$$ mithilfe der FOIL-Methode

Multipliziere $$$\left(x + 5\right) \left(x - 2\right)$$$ mithilfe der FOIL-Regel.

$$$\left({\color{red}\left(x\right)} + {\color{purple}\left(5\right)}\right) \left({\color{green}\left(x\right)} + {\color{blue}\left(-2\right)}\right) = \underbrace{{\color{red}\left(x\right)} {\color{green}\left(x\right)}}_{\text{Erste}} + \underbrace{{\color{red}\left(x\right)} {\color{blue}\left(-2\right)}}_{\text{Außen}} + \underbrace{{\color{purple}\left(5\right)} {\color{green}\left(x\right)}}_{\text{Innen}} + \underbrace{{\color{purple}\left(5\right)} {\color{blue}\left(-2\right)}}_{\text{Letzte}} = x^{2} - 2 x + 5 x - 10 = x^{2} + 3 x - 10$$$

$$$\left(x + 5\right) \left(x - 2\right) = x^{2} + 3 x - 10$$$A