Greetings and Happy Holidays!
FOIL stands for: First Outside Inside Last
FOIL is the order in which you would multiply (distributive property) the different terms:
[tex](x - 8)(x + 3)[/tex]
Multiply the First terms[tex](x)(x)[/tex]:
[tex]=x^2[/tex]
Multiply the Outside terms [tex](x)(3)[/tex]:
[tex]=x^2+3x[/tex]
Multiply the Inside terms[tex](-8)(x)[/tex]:
[tex]=x^2+3x-8x[/tex]
Multiply the Last terms[tex](-8)(3)[/tex]:
[tex]=x^2+3x-8x-24[/tex]
Simplify the expression:
[tex]=x^2-5x-24[/tex]
The Answer Is:
[tex]\boxed{=x^2-5x-24}[/tex]
I hope this helped!
-Benjamin
