# Multiply $\left(x + 5\right) \left(x - 2\right)$ using FOIL

The calculator will expand the product of binomials $\left(x + 5\right) \left(x - 2\right)$ using the FOIL method, with steps shown.

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Multiply $\left(x + 5\right) \left(x - 2\right)$ using FOIL.
$\left({\color{red}\left(x\right)} + {\color{purple}\left(5\right)}\right) \left({\color{green}\left(x\right)} + {\color{blue}\left(-2\right)}\right) = \underbrace{{\color{red}\left(x\right)} {\color{green}\left(x\right)}}_{\text{First}} + \underbrace{{\color{red}\left(x\right)} {\color{blue}\left(-2\right)}}_{\text{Outer}} + \underbrace{{\color{purple}\left(5\right)} {\color{green}\left(x\right)}}_{\text{Inner}} + \underbrace{{\color{purple}\left(5\right)} {\color{blue}\left(-2\right)}}_{\text{Last}} = x^{2} - 2 x + 5 x - 10 = x^{2} + 3 x - 10$
$\left(x + 5\right) \left(x - 2\right) = x^{2} + 3 x - 10$A