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27 May, 04:37

In the diagram at the right, the dimensions of the large rectangle are (3x - 1) by (3x + 7) units. The dimensions of the cut-out rectangle are x by 2x + 5 units. Which choice expresses the area of the shaded region, in square units?

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  1. 27 May, 05:01
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    Large Rectangle

    (3x - 1) (3x + 7)

    9x² + 21x - 3x - 7

    9x² + 18x - 7

    Cut - Out Rectangle

    x (2x + 5)

    x (2x) + x (5)

    2x² + 5x

    Large Rectangle - Cut - Out Rectangle

    (9x² + 18x - 7) - (2x² + 5x)

    9x² - 2x² + 18x - 5x - 7

    5x² + 13x - 7
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