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ГДЗ Алгебра 7 клас Мерзляк (2024)
§ 1. Алгебраїчні вирази
Реклама:
Знайдіть значення виразу:
1) З20 ∙ 620 – (1810 – 2)(1810 + 2) = (3 ∙ 6)20 – ((1810)2 – 4) = 1820 – 1820 + 4 = 4;
2) (5 + 2817)(5 – 2817) + 1434 ∙ 234 = 52 – (2817)2 + (14 ∙ 2)34 = 25 – 2834 + 2834 = 25;
3) 736 ∙ 812 – (1418 + 3)(1418 – 3) = 736 ∙ (23)12 – ((1418)2 – З2) = 736 ∙ 236 – 1436 + 9 = 1436 – 1436 + 9 = 9;
4) (З2 – 1)(32 + 1)(34 + 1)(38 + 1)(316 + 1)(332 + 1) – З64 = (З4 – 1) ∙ (34 + 1)(38 + 1)(316 + 1)(332 + 1) – З64 = (З8 – 1)(38 + 1)(316 + 1) ∙ (332 + 1) – З64 = (З16 – 1)(316 + 1)(332 + 1) – З64 = (З32 – 1)(332 + 1) – З64 = З64 – 1 – З64 = – 1;
5) (2 + 1)(22 + 1)(24 + 1)(28 + 1)(216 + 1) – 232 = (2 – 1)(2 + 1)(22 + 1)(24 + 1)(28 + 1)(216 + 1) – 232 = (22 – 1)(22 + 1)(24 + 1)(28 + 1) (216 + 1) – 232 = (24 – 1)(24 + 1)(28 + 1)(216 + 1) – 232 = (28 – 1)(28 + 1)(216 + 1) – 232 = (216 – 1)(216 + 1) – 232 = 232 – 1 – 232 = – 1.
1) З20 ∙ 620 – (1810 – 2)(1810 + 2) = (3 ∙ 6)20 – ((1810)2 – 4) = 1820 – 1820 + 4 = 4;
2) (5 + 2817)(5 – 2817) + 1434 ∙ 234 = 52 – (2817)2 + (14 ∙ 2)34 = 25 – 2834 + 2834 = 25;
3) 736 ∙ 812 – (1418 + 3)(1418 – 3) = 736 ∙ (23)12 – ((1418)2 – З2) = 736 ∙ 236 – 1436 + 9 = 1436 – 1436 + 9 = 9;
4) (З2 – 1)(32 + 1)(34 + 1)(38 + 1)(316 + 1)(332 + 1) – З64 = (З4 – 1) ∙ (34 + 1)(38 + 1)(316 + 1)(332 + 1) – З64 = (З8 – 1)(38 + 1)(316 + 1) ∙ (332 + 1) – З64 = (З16 – 1)(316 + 1)(332 + 1) – З64 = (З32 – 1)(332 + 1) – З64 = З64 – 1 – З64 = – 1;
5) (2 + 1)(22 + 1)(24 + 1)(28 + 1)(216 + 1) – 232 = (2 – 1)(2 + 1)(22 + 1)(24 + 1)(28 + 1)(216 + 1) – 232 = (22 – 1)(22 + 1)(24 + 1)(28 + 1) (216 + 1) – 232 = (24 – 1)(24 + 1)(28 + 1)(216 + 1) – 232 = (28 – 1)(28 + 1)(216 + 1) – 232 = (216 – 1)(216 + 1) – 232 = 232 – 1 – 232 = – 1.