Essay: 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 + 5y inches, the other side should be (x ^ 2 -5xy - 4y^ 2) inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.

Question

Essay: 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 + 5y inches, the other side should be (x ^ 2  -5xy - 4y^ 2) inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.

anonymous · Answer

Area is Length X Breadth
area = (x+5y)(x^2-5xy-4y^2)
= x^3 - 5yx^2 - 4xy^2 + 5yx^2 - 25xy^2 - 20y^3
= x^3 - 29xy^2 - 20y^3 (SQUARE INCHES)