Here are the essential concepts you must grasp in order to answer the question correctly.
Binomial
A binomial is a polynomial that consists of exactly two terms, which can be separated by a plus or minus sign. In the expression (5x - 3y), '5x' and '-3y' are the two terms. Understanding binomials is essential for applying algebraic operations, such as multiplication or factoring.
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Square of a Binomial
The square of a binomial refers to the formula (a ± b)² = a² ± 2ab + b². This formula allows us to expand the square of a binomial expression efficiently. In the case of (5x - 3y)², we can identify 'a' as '5x' and 'b' as '3y' to apply this rule.
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Algebraic Expansion
Algebraic expansion is the process of multiplying out expressions to simplify or rewrite them in a standard form. When expanding (5x - 3y)², we apply the square of a binomial formula to obtain a polynomial expression. This skill is fundamental in algebra for simplifying complex expressions and solving equations.
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