Ответ:
[tex]24.[/tex]
Объяснение:
[tex](2 \sqrt{3} + 3 \sqrt{2} ) {}^{2} - 2 \sqrt{3} (6 \sqrt{2} + \sqrt{3} ) = (2 \sqrt{3} ) {}^{2} + 2 \times 2 \sqrt{3} \times 3 \sqrt{2} + (3 \sqrt{2} ) {}^{2} - 2 \sqrt{3} \times 6 \sqrt{2} - 2 \sqrt{3} \times \sqrt{3} = 12 + 12 \sqrt{6} + 18 - 12 \sqrt{6} - 6 = 12 + 18 - 6 = 30 - 6 = 24.[/tex]
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Ответ:
[tex]24.[/tex]
Объяснение:
[tex](2 \sqrt{3} + 3 \sqrt{2} ) {}^{2} - 2 \sqrt{3} (6 \sqrt{2} + \sqrt{3} ) = (2 \sqrt{3} ) {}^{2} + 2 \times 2 \sqrt{3} \times 3 \sqrt{2} + (3 \sqrt{2} ) {}^{2} - 2 \sqrt{3} \times 6 \sqrt{2} - 2 \sqrt{3} \times \sqrt{3} = 12 + 12 \sqrt{6} + 18 - 12 \sqrt{6} - 6 = 12 + 18 - 6 = 30 - 6 = 24.[/tex]