Answer
$$25x^2 - 20x + 4$$
Work Step by Step
To simplify this expression, we need to expand it by multiplying the binomial by itself:
$$(5x - 2)(5x - 2)$$
We use the FOIL method to expand the expression. The FOIL method states that we need to multiply the first terms together, then the outside terms, then the inside terms, and then the last terms:
$$5x(5x) + (5x)(-2) + (-2)(5x) + (-2)(-2)$$
We multiply the terms out:
$$25x^2 - 10x - 10x + 4$$
Group like terms:
$$25x^2 +(-10x - 10x) + 4$$
Combine like terms:
$$25x^2 - 20x + 4$$
