Difference of two squares.
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You use variables to stand for numbers in algebra
The point of using letters in algebra is that they can stand for any number (or a range of numbers that are, as yet, unspecified). There is no specific letter allocated to a number.
foundations algebra is probably pre algebra, which is before algebra, so no.
The difference of algebra and algebra 1 is that in algebra they teach you the basics. For example, they teach you about variables, graphs, how to find slopes. In algebra 1 they start using equations and and teach you how to work longer equations and all that jazz.
algebra 1a is the first part of algebra 1 and algebra 1b is the second part. :)