Question

Show all work. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + y inches, the other side should be x^2 - 3xy + 7y^2 inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.

Answer 1

This is a rectangle, so the area is
Area of rectangle = side * other side = (x+y)(x^2 - 3*x*y + 7 y^2) inches^2

now is just a mater of multiplying and simplifying

Answer 2

This is your expanded form:
x^3-2x^2y+4xy^2+7y^3

Answer 3

Thanks!