In the landmark Supreme Court decisions of Roe v. Wade (1973) and Planned Parenthood v. Casey (1992), the Court addressed the constitutional right to privacy in relation to a woman's right to choose an abortion. Analyze the reasoning and decisions of each case, focusing on the Court's interpretation of the right to privacy and how those interpretations were applied in each case. Additionally, compare the majority opinions and dissenting arguments in both cases, highlighting how they reflect the evolving nature of abortion rights in the United States.
Note: The provided solution includes an example of a perfect-score answer and explanation. Your response will not be scored.