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4 December, 12:11

Which polynomial expression represents the area of the outermost square tile, shown below? A square shaped tile with length x minus three is shown x2 + 6x - 6 x2 - 9x + 6 x2 + 6x - 9 x2 - 6x + 9

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  1. 4 December, 15:26
    0
    The square of a binomial can be worked out using the distributive propery.

    (x - 3) ² = x (x - 3) - 3 (x - 3) = x² - 3x - 3x + 9

    = x² - 6x + 9
  2. 4 December, 16:05
    0
    Area of square tile is:

    x²-6x+9

    Step-by-step explanation:

    A square shaped tile has a length x-3

    We know that:

    Area of square=Side²

    So, area of the outermost square tile = (x-3) (x-3)

    =x (x-3) - 3 (x-3)

    =x²-3x-3x+9

    = x²-6x+9

    Hence, Area of square tile is:

    x²-6x+9
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