7. а) \((2\sqrt{3}-3\sqrt{2})^2\); б) \((\sqrt{6}+\sqrt{12})^2\); в) \((3\sqrt{5}-5\sqrt{2})^2\); г) \((\sqrt{14}+\sqrt{8})^2\).

1. \((2\sqrt{3}-3\sqrt{2})^2=12-12\sqrt{6}+18=30-12\sqrt{6}\).
2. \((\sqrt{6}+\sqrt{12})^2=6+2\sqrt{72}+12=18+12\sqrt{2}\).
3. \((3\sqrt{5}-5\sqrt{2})^2=45-30\sqrt{10}+50=95-30\sqrt{10}\).
4. \((\sqrt{14}+\sqrt{8})^2=14+2\sqrt{112}+8=22+8\sqrt{7}\).

Ответ: а) \(30-12\sqrt{6}\); б) \(18+12\sqrt{2}\); в) \(95-30\sqrt{10}\); г) \(22+8\sqrt{7}\).