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The Deep Dive
Did you know that the expression \( (x-2)(x+3) \) is a simple quadratic that can be expanded using the distributive property, commonly known as the FOIL method? When you apply FOIL (First, Outside, Inside, Last), you multiply each term in the first bracket by each term in the second. This gives you \( x^2 + 3x - 2x - 6 \), which simplifies neatly into \( x^2 + x - 6 \)! Now, let's talk about how you might see this kind of quadratic in real-world situations. For instance, this expression could represent the area of a rectangle with dimensions \( (x-2) \) and \( (x+3) \), where \( x \) could represent a variable length in a particular context (like a garden plot or a room). Using it in design or planning can help you calculate different configurations based on the variable \( x \).
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