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Home » Substitute $ x^2 - 1 $: - Sourci

Substitute $ x^2 - 1 $: - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Then odd count = odd number of non-prime odds = 0 (even) → acceptable

📌 Contribution: even + even + even + even = even → valid

📌 Prime selections: only (2,2) → 1 way

📌 Non-prime: (4,4), (4,6), (6,4), (6,6) → 4 ways

📌 Number of assignments: $ 1 \times 4 = 4 $

📌 But wait: for each prime position, we assign specific values. Since both primes are 2: only 1 way

📌 Non-primes: each has 3 choices → $ 3 \times 3 = 9 $, but we must restrict to even non-primes? No: for sum parity, only the oddness matters.

📌 For Case 1:

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