1. **State the problem:** Expand the expression $$2p(7y - 7p - 5)$$. 2. **Formula and rules:** Use the distributive property, which states that $$a(b + c + d) = ab + ac + ad$$. Here, multiply each term inside the parentheses by $$2p$$. 3. **Apply the distributive property:** $$2p \times 7y = 14py$$ $$2p \times (-7p) = -14p^2$$ $$2p \times (-5) = -10p$$ 4. **Combine all terms:** $$14py - 14p^2 - 10p$$ 5. **Final answer:** $$\boxed{14py - 14p^2 - 10p}$$ This matches the expression in the top-left rounded rectangle.