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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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Q: What is the meaning of special product in college algebra?

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The patterns in which they appear in the problem make the products special.

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Special product is the process of combining factors to form products.

A word with a special meaning in an area of study. - Apex Algebra 1 Sem 1 1.1.4

A word with a special meaning in an area of study. - Apex Algebra 1 Sem 1 1.1.4

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Its an item that a consumer would make a SPECIAL effort to search for and buy. i.e. Rolex watches

Linear algebra is restricted to a limited set of transformations whereas algebra, in general, is not. The restriction imposes restrictions on what can be a linear transformation and this gives the family of linear transformations a special mathematical structure.

In math, like algebra and calculus, a product is special when it is very common and worth knowing.Some examples area:(x + y) = ax + ay (Distibutive Law)(x + y)(x − y) = x2 − y2 (Difference of 2 squares)(x + y)2 = x2 + 2xy + y2 (Square of a sum)(x − y)2 = x2 − 2xy + y2 (Square of a difference)

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