With the foil method, we choose to multiply the terms with the rule First Outer Inner Last.
In this case, we have the following expression:
![(x-1)(x+6)](https://img.qammunity.org/2023/formulas/mathematics/college/pr5b6usxcvoip65ryr9yc167xxynwjej1w.png)
then, the following products can be calculated with the FOIL rule:
![\begin{gathered} First:x(x)=x² \\ Outer:x(6)=6x \\ Inner:-1(x)=-x \\ Last:-1(6)=-6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qzpyfiozc3thv6syu7qajeukupqyhtwuze.png)
then, the complete expression is:
![x²+6x-x-6=x²+5x-6](https://img.qammunity.org/2023/formulas/mathematics/college/q2fry5jnwcrly1sifw5od5sm9up28iyt69.png)
therefore, the product is x²+5x-6