Answer:
To use the FOIL method to simplify the expression (2x - 1/2)^2, follow these steps:
F: Multiply the first terms in each set of parentheses:
(2x) * (2x) = 4x^2
O: Multiply the outer terms in each set of parentheses:
(2x) * (-1/2) = -x
I: Multiply the inner terms in each set of parentheses:
(-1/2) * (2x) = -x
L: Multiply the last terms in each set of parentheses:
(-1/2) * (-1/2) = 1/4
Now, combine the like terms:
4x^2 - x - x + 1/4
Simplify by combining like terms:
4x^2 - 2x + 1/4
Therefore, (2x - 1/2)^2 = 4x^2 - 2x + 1/4.