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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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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Square of BinomialsSquare of MultinomialsTwo Binomials with Like TermsSum and Difference of Two NumbersCube of BinomialsBinomial Theorem
An example of a special product is the square of a binomial, expressed as ((a + b)^2). This can be expanded using the formula ((a + b)^2 = a^2 + 2ab + b^2). Another example is the difference of squares, represented as (a^2 - b^2 = (a + b)(a - b)). These special products simplify calculations and are commonly used in algebra.
what are the different special product and factory
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)
Its an item that a consumer would make a SPECIAL effort to search for and buy. i.e. Rolex watches