Problema Solution
A school designer wants to create a whiteboard with the optimal dimensions to enhance learning it si sdetermined that if one side of the whiteboard is x+8y inches the other side should be x^2-5xy+8y^2 inches write an algebraic expression for the area of such a whiteboard simplify and include correct units with your solution
Answer provided by our tutors
Area = width*length
= (x+8y)(x^2-5xy+8y^2)
= x^3 -5x^2y+8xy^2 + 8x^2y -40xy^2 +64y^3
= x^3 +3x^2y-32xy^2 +64y^3
So
Area is (x^3 +3x^2y-32xy^2 +64y^3)