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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Sums, Differences, and Squares

Table 8.2 provides a summary of operations involving a few of the most common forms of binomial expressions. The discussion that follows examines a few expressions that illustrate the application of these generalized approaches to working with binomials.

Table 8.2. Sums, Differences, and Squares
ItemDiscussion
(ab)(a + b) = a2b2The product of the sum and the difference of the same two terms consists of the square of the second term subtracted from the square of the first term.
(a + b)2 = a2 + 2ab + b2The square of the sum of two terms consists of the sum of the square of the first term, twice the product of the two terms, and the square of the second term.
(ab)2 = a2 − 2ab + b2The square of the difference of ...

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