Final answer:
The expansion of (2w - 5)³ is 8w³ - 60w² + 150w - 125, which corresponds to option A.
Step-by-step explanation:
The expansion of (2w - 5)³ in standard form can be found by calculating each term in the binomial expansion, which follows the pattern of (a - b)³ = a³ - 3a²b + 3ab² - b³. Applying this pattern, we get:
- The first term: (2w)³ = 8w³
- The second term: 3(2w)²(-5) = -60w²
- The third term: 3(2w)(-5)² = 150w
- The fourth term: (-5)³ = -125
Putting it all together, we obtain the expanded form: 8w³ - 60w² + 150w - 125. Option A is the correct choice.