FOIL Calculator

The calculator will multiply two binomials using the FOIL method, with steps shown.

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Your Input

Multiply $$$\left(2 x + 1\right) \left(5 x + 7\right)$$$ using FOIL.

Solution

$$$\left(\color{red}{\left(2 x\right)} + \color{purple}{\left(1\right)}\right) \left(\color{green}{\left(5 x\right)} + \color{blue}{\left(7\right)}\right) = \underbrace{\color{red}{\left(2 x\right)} \color{green}{\left(5 x\right)}}_{\text{First}} + \underbrace{\color{red}{\left(2 x\right)} \color{blue}{\left(7\right)}}_{\text{Outer}} + \underbrace{\color{purple}{\left(1\right)} \color{green}{\left(5 x\right)}}_{\text{Inner}} + \underbrace{\color{purple}{\left(1\right)} \color{blue}{\left(7\right)}}_{\text{Last}} = 10 x^{2} + 14 x + 5 x + 7 = 10 x^{2} + 19 x + 7$$$

Answer

$$$\left(2 x + 1\right) \left(5 x + 7\right) = 10 x^{2} + 19 x + 7$$$A