Ответ:
Объяснение:
59³ - 41³ + 59.41 = 136 458 + 59.41 = 136 517,41
а) 59³ - 41³ = (59 - 41)(59² + 59 · 41 + 41²) =
= 18((59 + 41)² - 2 · 59 · 41 + 59 · 41) = 18(100² - 59 · 41) = 18 · 7 581 =
= 7 581(10 + 8) = 75 810 + 8(7000 + 500 + 80 + 1) =
= 75 810 + 56 000 + 4 000 + 640 + 8 = 75 818 + 60 000 + 640 = 136 458
б) 59 · 41 = (50 + 9)(40 + 1) = 2000 + 50 + 360 + 9 = 2 419
в) 100² - 59 · 41 = 10 000 - 2 419 = 7 581
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Ответ:
59³ - 41³ + 59.41 = 136 517,41
Объяснение:
59³ - 41³ + 59.41 = 136 458 + 59.41 = 136 517,41
а) 59³ - 41³ = (59 - 41)(59² + 59 · 41 + 41²) =
= 18((59 + 41)² - 2 · 59 · 41 + 59 · 41) = 18(100² - 59 · 41) = 18 · 7 581 =
= 7 581(10 + 8) = 75 810 + 8(7000 + 500 + 80 + 1) =
= 75 810 + 56 000 + 4 000 + 640 + 8 = 75 818 + 60 000 + 640 = 136 458
б) 59 · 41 = (50 + 9)(40 + 1) = 2000 + 50 + 360 + 9 = 2 419
в) 100² - 59 · 41 = 10 000 - 2 419 = 7 581