First, let's expand the expression (2x-1)(2x+1):

(2x-1)(2x+1) = 2x 2x + 2x 1 - 1 2x - 1 1
= 4x^2 + 2x - 2x - 1
= 4x^2 - 1

Now, let's expand (2x-1)^2:

(2x-1)^2 = (2x-1)(2x-1)
= 2x 2x + 2x (-1) - 1 2x - 1 (-1)
= 4x^2 - 2x - 2x + 1
= 4x^2 - 4x + 1

Now, let's add the two expressions together:

(2x-1)(2x+1) + (2x-1)^2 = (4x^2 - 1) + (4x^2 - 4x + 1)
= 4x^2 - 1 + 4x^2 - 4x + 1
= 8x^2 - 4x

Therefore, (2x-1)(2x+1) + (2x-1)^2 = 8x^2 - 4x.