Final answer:
The expression (3w-2u)² is equivalent to 9w² - 12wu + 4u².
Step-by-step explanation:
The expression (3w-2u)² can be expanded using the formula for the square of a binomial, which states that (a+b)² = a² + 2ab + b². In this case, a = 3w and b = -2u. Plugging these values into the formula, we get:
(3w-2u)² = (3w)² + 2(3w)(-2u) + (-2u)²
Simplifying further, we get:
(3w-2u)² = 9w² - 12wu + 4u²
Therefore, the equivalent expression is 9w² - 12wu + 4u². Option A, 9w² - 6wu + 4u², is close but has a sign error in the middle term.