Complete Guide to Multiplying Binomials: Foil Method and Box ... - Free Printable

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- The Area Model multiplies each term in the first binomial by each term in the second binomial, arranging them in a grid. For (6x + 12)(x - 5), the products are: 6x * x = 6x², 6x * (-5) = -30x, 12 * x = 12x, and 12 * (-5) = -60. Combining like terms (-30x + 12x = -18x) gives the final result: 6x² - 18x - 60.
- The FOIL method stands for First, Outer, Inner, Last. For (8 - 5x)(8 - 5x): First terms (8 * 8 = 64), Outer terms (8 * -5x = -40x), Inner terms (-5x * 8 = -40x), Last terms (-5x * -5x = 25x²). Combining like terms (-40x - 40x = -80x) gives the final result: 25x² - 80x + 64.

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