Essay: Show all work. A gardener wants to create a rectangular garden with length of 2x-3y ft. and width of x+4y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include units.
(2x-3y)(x+4y)
Use FOIL or distributive property
Using distributive property:
+2x (x+4y) - 3y (x+4y)
2 x^2 + 8 x y - 3 x y - 12 y^2
= 2 x^2 + 5 x y - 12 y^2 ft^2