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14 December, 08:02

A rectangle has a height of 5m^4 and a width of m^2-2m-1.

Express the area of the entire rectangle.

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  1. 14 December, 08:23
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    area of the rectangle = 5 (m⁶ - 2m⁵ - m⁴) or 5m⁴ (m² - 2m - 1)

    Step-by-step explanation:

    The rectangle has a height of 5m⁴ and the width is m² - 2m - 1. The area of the rectangle is the product of the width and the height.

    width = m² - 2m - 1

    height = 5m⁴

    area of rectangle = 5m⁴ * (m² - 2m - 1)

    area of rectangle = 5m⁴ (m² - 2m - 1)

    area of the rectangle = 5m⁶ - 10m⁵ - 5m⁴

    area of the rectangle = 5 (m⁶ - 2m⁵ - m⁴)

    The area of the entire rectangle can be expressed as 5 (m⁶ - 2m⁵ - m⁴) or 5m⁴ (m² - 2m - 1)
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