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

Express the area of the entire rectangle.

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)