Final answer:
The expression 2x(5x - 6y {?}²)² simplifies to 50x³ - 120x²y + 72xy².
Step-by-step explanation:
The given expression is: 2x(5x - 6y {?}²)²
We need to simplify and expand the expression using the distributive property. The square of the binomial inside the parentheses will be:
(5x - 6y)² = (5x)² - 2(5x)(6y) + (6y)² = 25x² - 60xy + 36y²
Now, we substitute this expression back into the original expression:
2x(25x² - 60xy + 36y²) = 50x³ - 120x²y + 72xy²
Therefore, the answer is 50x³ - 120x²y + 72xy² which is equivalent to option D. 20x² - 48y².