Answer:
A = 15y^5 - 40y^4 + 10y^3
Step-by-step explanation:
The area, A, is equal to the product of the height and the width:
A = (5y^3)(3y^3 - 8y^2 + 2y)
We can simplify the work just a lilttle by factoring out y from the second multiplicand:
A = (y) * (5y^2) * (3y^2 - 8y + 2)
Holding the (y) for last, we multiply (5y^3) * (3y^2 - 8y + 2), obtaining
A = y * (15y^4 - 40y^3 + 10 y^2
Completing this multiplication, we get the final answer:
A = 15y^5 - 40y^4 + 10y^3.
