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13 November, 03:59

Find the area of a rectangle with a width of x3 + 5x - 9 and a length of x2 + 8.

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  1. 13 November, 04:01
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    A = x⁵ + 13x³ - 9x² + 40x - 72

    Step-by-step explanation:

    The formula for the area of a rectangle is length X width, or A = lw.

    Substitute the equations for the sides into the formula:

    A = lw

    A = (x² + 8) (x³ + 5x - 9) < = use the distributive property

    A = x⁵ + 5x³ - 9x² + 8x³ + 40x - 72 < = collect like terms

    A = x⁵ + 13x³ - 9x² + 40x - 72
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