To find the value of the expression 4x^2 - 3xy + 2y^2 when x = 2 and y = 3, we can substitute these values into the expression and simplify:
4x^2 - 3xy + 2y^2 = 4(2)^2 - 3(2)(3) + 2(3)^2
= 16 - 18 + 18
= 16
Therefore, the value of the expression 4x^2 - 3xy + 2y^2 when x = 2 and y = 3 is 16.