Here are the essential concepts you must grasp in order to answer the question correctly.
Binomial Expansion
Binomial expansion refers to the process of expanding expressions that are raised to a power, particularly those in the form of (a + b)^n. In this case, (x - 3)^2 can be expanded using the formula (a - b)^2 = a^2 - 2ab + b^2, where a = x and b = 3. Understanding this concept is crucial for accurately expanding the expression.
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Algebraic Manipulation
Algebraic manipulation involves rearranging and simplifying algebraic expressions using various operations such as addition, subtraction, multiplication, and factoring. In the context of the given expression, it is important to apply these operations correctly to combine like terms and simplify the result after expansion. Mastery of these techniques is essential for solving algebraic problems.
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Quadratic Expressions
Quadratic expressions are polynomial expressions of the form ax^2 + bx + c, where a, b, and c are constants. The expression (x - 3)^2, when expanded, results in a quadratic expression. Recognizing the characteristics of quadratic expressions, such as their standard form and the ability to identify their roots, is vital for further analysis and application in algebra.
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