Alg2 ZAP #2: Factoring

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Factor: x² - 30x + 225

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(x - 15)²

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Factor: 4x² - 64y²

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(2x - 8y)(2x + 8y)

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Factor: 2x³ - 8x² - x + 4

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(2x² - 1)(x - 4)

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Factor: x³ + 1

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(x + 1)(x² - x + 1)

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Fully Factor: 216x³ + 125

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(6x + 5)(36x² - 30x + 25)

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Definition: Perfect Square Trinomial

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A trinomial that can be expressed as the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

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Definition: Difference of Squares

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A² - B² = (A - B)(A + B).

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Definition: Sum of Cubes

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A³ + B³ = (A + B)(A² - AB + B²).

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Definition: Factor by Grouping

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A method of factoring that involves grouping terms with common factors.

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Example: Factor x² - 9

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(x - 3)(x + 3) - Difference of Squares.