Решите (1/2+1/3) 2; (1/2) 2 + (1/3) 2; (1/2) + 21/21/3 + (1/3) 2.

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Валентина Григорьева

Математика

18 февраля, 16:28

Решите (1/2+1/3) 2; (1/2) 2 + (1/3) 2; (1/2) + 21/21/3 + (1/3) 2.

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Амира Литвинова · Answer 1

Вычислим значения выражений:

(1/2 + 1/3) ² = (1 * 3 / (2 * 3) + 1 * 2 / (3 * 2)) ² = (3/6 + 2/6) ² = (5/6) ² = 5²/6² = 25/36; (1/2) ² + (1/3) ² = 1/4 + 1/9 = (1 * 9 + 1 * 4) / 36 = (9 + 4) / 36 = 13/36; (1/2) + 2 * 1/2 * 1/3 + (1/3) ² = 1/2 + 2/2 * 1/3 + 1/9 = 1/2 + 1/3 + 1/9 = 1/2 + 3/9 + 1/9 = 1/2 + 4/9 = 9/18 + 8/18 = 17/18.

Решите (1/2+1/3) 2; (1/2) 2 + (1/3) 2; (1/2) + 2*1/2*1/3 + (1/3) 2.

Решите (1/2+1/3) 2; (1/2) 2 + (1/3) 2; (1/2) + 21/21/3 + (1/3) 2.