(2x-1)^2 = (2x-1)(2x-1)Expanding using FOIL method:= 2x(2x) - 2x(1) - 1(2x) + 1(1)= 4x^2 - 2x - 2x + 1= 4x^2 - 4x + 1
Therefore, (2x-1)^2 = 4x^2 - 4x + 1.
(2x-1)^2 = (2x-1)(2x-1)
Expanding using FOIL method:
= 2x(2x) - 2x(1) - 1(2x) + 1(1)
= 4x^2 - 2x - 2x + 1
= 4x^2 - 4x + 1
Therefore, (2x-1)^2 = 4x^2 - 4x + 1.