(2x-3y)^2

(2x-3y)^2 = (2x-3y)(2x-3y)

Using the FOIL method to multiply the terms:

(2x-3y)(2x-3y)
= 2x * 2x + 2x * (-3y) - 3y * 2x - 3y * (-3y)
= 4x^2 - 12xy - 12xy + 9y^2
= 4x^2 - 24xy + 9y^2