The capstone lesson synthesizes the extension course by focusing on Method Selection. Success in Vedic Mathematics comes from recognizing which restricted algebraic identity or remainder invariant applies to a given problem. The process involves identifying structure, verifying the method condition, calculating, and proving the answer via independent verification.

Standard fallback: Standard long-form multiplication and conventional algebraic factorization. Verification techniques include digit sums for arithmetic and specific value substitutions (e.g., x=1) for algebra. The goal is efficiency and accuracy through the pillars of Select, Solve, and Verify.