The correct pairs are: (x + 3y) and (x - 3y) ↔ x^2 - 9y^2 (x^2 + 3xy - 2) and (xy + 3) ↔ x^3y + 3x^2y^2 + 7xy - 6 (2xy + x + y) and (3xy^2 - y) ↔ 6x^2y^3 - 2xy^2 + 3x^2y^2 - xy + 3xy^3 - y^2 ;
To correctly pair algebraic expressions, look for equivalent forms through expansion or simplification. The pairs (x + 3y) and (x - 3y), (x^2 + 3xy - 2) and (xy + 3), and (2xy + x + y) and (3xy^2 - y) match with their respective outcomes. Pairs without equivalent relationships are not used.
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