As an example, the product of (a + b) (a - b) is equal to a squared - b squared."Special product" simply means that there are special cases, when multiplying polynomials, that are worth memorizing. For example, if you know the above, then you can easily start factoring any expression that contains the difference of two perfect squares - for example, x squared minus 1, a to the power 6 minus b to the power 4, or even - if you start using complex numbers - a squared + b squared = a squared - (-1) b squared.
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