Ответ: Сейчас я решу эти примеры!
1) Пример: −x ⋅ (x + 7) + (x + 5) ⋅ (x − 5) при x = 3/7
−(3/7) ⋅ (3/7 + 7) + (3/7 + 5) ⋅ (3/7 − 5)
−(3/7) ⋅ (3/7 + 49/7) + (3/7 + 35/7) ⋅ (3/7 − 35/7)
−(3/7) ⋅ (52/7) + (38/7) ⋅ (−32/7)
−156/49 − 1216/49
−1372/49 = -28
2) Пример: −b ⋅ (b − 8) + (b − 6) ⋅ (b + 6) при b = 1/8
−(1/8) ⋅ (1/8 − 8) + (1/8 − 6) ⋅ (1/8 + 6)
−(1/8) ⋅ (1/8 − 64/8) + (1/8 − 48/8) ⋅ (1/8 + 48/8)
−(1/8) ⋅ (−63/8) + (−47/8) ⋅ (49/8)
63/64 − 2303/64
−2240/64 = -35
3) Пример: −m ⋅ (m + 2) + (m + 3) ⋅ (m − 3) при m = 1/2
−(1/2) ⋅ (1/2 + 2) + (1/2 + 3) ⋅ (1/2 − 3)
−(1/2) ⋅ (1/2 + 4/2) + (1/2 + 6/2) ⋅ (1/2 − 6/2)
−(1/2) ⋅ (5/2) + (7/2) ⋅ (−5/2)
−5/4 − 35/4
−40/4 = -10
4) Пример: −p ⋅ (4 + p) + (p − 2) ⋅ (p + 2) при p = 3/4
−(3/4) ⋅ (4 + 3/4) + (3/4 − 2) ⋅ (3/4 + 2)
−(3/4) ⋅ (16/4 + 3/4) + (3/4 − 8/4) ⋅ (3/4 + 8/4)
−(3/4) ⋅ (19/4) + (−5/4) ⋅ (11/4)
−57/16 − 55/16
−112/16 = -7
5) Пример: −x ⋅ (x + 2) + (x + 5)² при x = -3/8
−(−3/8) ⋅ (−3/8 + 2) + (−3/8 + 5)²
(3/8) ⋅ (−3/8 + 16/8) + (−3/8 + 40/8)²
(3/8) ⋅ (13/8) + (37/8)²
39/64 + 1369/64
1408/64 = 22
6) Пример: −c ⋅ (c + 3) + (c + 4)² при c = -2/5
−(−2/5) ⋅ (−2/5 + 3) + (−2/5 + 4)²
(2/5) ⋅ (−2/5 + 15/5) + (−2/5 + 20/5)²
(2/5) ⋅ (13/5) + (18/5)²
26/25 + 324/25
350/25 = 14
Ответ: 1) -28; 2) -35; 3) -10; 4) -7; 5) 22; 6) 14
Математический гений: Уровень интеллекта: +50
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