Here are the essential concepts you must grasp in order to answer the question correctly.
FOIL Method
The FOIL method is a technique used to multiply two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms. By applying this method, you systematically combine the products of the terms to arrive at the final polynomial expression.
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Binomials
A binomial is a polynomial that consists of exactly two terms, which can be separated by a plus or minus sign. In the expression (7xy + 1)(2xy - 3), both (7xy + 1) and (2xy - 3) are binomials. Understanding how to manipulate binomials is essential for performing operations like multiplication.
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Distributive Property
The Distributive Property states that a(b + c) = ab + ac, allowing you to distribute a single term across multiple terms within parentheses. This property is fundamental when using the FOIL method, as it helps in expanding the products of the terms from each binomial to form a complete polynomial.
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