(2x-3y)^2 = (2x-3y)(2x-3y)Expand using FOIL method:
(2x-3y)(2x-3y) = 2x2x + 2x(-3y) + (-3y)2x + (-3y)(-3y)= 4x^2 - 6xy - 6xy + 9y^2= 4x^2 - 12xy + 9y^2
Therefore, (2x-3y)^2 = 4x^2 - 12xy + 9y^2.
(2x-3y)^2 = (2x-3y)(2x-3y)
Expand using FOIL method:
(2x-3y)(2x-3y) = 2x2x + 2x(-3y) + (-3y)2x + (-3y)(-3y)
= 4x^2 - 6xy - 6xy + 9y^2
= 4x^2 - 12xy + 9y^2
Therefore, (2x-3y)^2 = 4x^2 - 12xy + 9y^2.