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ده مثال از تجزیه به کمک اتحاد مزدوج:
1. x^2 - 9 = (x + 3)(x - 3)
2. 4y^2 - 16 = (2y + 4)(2y - 4)
3. a^2 - 25 = (a + 5)(a - 5)
4. 49 - b^2 = (7 + b)(7 - b)
5. 9c^2 - 81 = (3c + 9)(3c - 9)
6. x^2 - 1 = (x + 1)(x - 1)
7. 36 - 4k^2 = (6 + 2k)(6 - 2k)
8. m^2 - 64 = (m + 8)(m - 8)
9. p^2 - 100 = (p + 10)(p - 10)
10. 81 - q^2 = (9 + q)(9 - q)