Answer:
area of the rectangle = 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)
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)