Question

A school designer wants to create a whiteboard with the optional dimensions to enhance learning. It is determinedd that if one side of the whiteboard is x+2y inches theother side should be x^2+6xy-5y^2 inches. Write an algebraic expression for the area of such a whiteboard, simplify it and include correct units with your solution.

Answer 1

A = (x+2y)(x^2+6xy-5y^2)

A=x^3+6x^2y-5xy^2 + 2x^2y+12xy^2-10y^3
A = x^3 + 8x^2y +7xy^2 - 10y^3
A = x^2(x+8y) + y^2(7x-10y). Sq. In.