SOLUTION: how do i find the product? (x-1) (x+3) (x-3) (x^3) - x^2 (3)(3x) = x^3 -2x + 9 ?? (my best guess)

Question 404630: how do i find the product? (x-1) (x+3) (x-3)
(x^3) - x^2 (3)(3x) = x^3 -2x + 9 ??
(my best guess)

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
(x-1) (x+3) (x-3)
It will require two stages to multiply this out:

Multiply two of these three factors. (And since multiplication is Commutative and Associative we can pick any two factors to multiply to start!)
Multiply the answer from step 1 by the remaining factor.

Since we get to pick which pair of factors to multiply I am going to pick the easiest pair. The last two factors, (x+3) and (x-3), fit the pattern for . So multiplying them will be easy. Using the pattern, with "a" being x and "b" being 3 we get:

Now we multiply what is left. There is no pattern for this. Since it is one binmial times another we can use FOIL. But before that I like to rewrite the subtractions as additions. Subtractions are a common source of confusion and errors.

Now we'll use FOIL:

which simplifies as follows:

Usually terms are put in descending order of the exponents so this would become:

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