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It applies to the period in algebra instruction devoted specifically to quadratic equations. It's a first step towards the concept of "multiply all combinations and combine like terms", taught at a time when solving and factoring quadratic equations are brand new subjects.

I don't think FOIL should be given much weight as some sort of eternal mathematical truth, but it's a useful stop on the journey.



Why is it useful? Isn't it simpler to just say "multiply everything with everything"? This is the way I was taught.




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