a³ + b³ = (a + b)(a² - ab + b²)
(73³ + 67³)/70 - 2*73*67 = (73 + 67)(73² - 73*67 + 67²)/70 - 2*73*67 = 140*(73² - 73*67 + 67²)/70 - 2*73*67 = 2*73² - 2*73*67 + 2*67² - 2*67*73 = 2*(73² - 2*73*67 + 67²) = 2*(73 - 67)² = 2*6² = 2*36 = 72
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
a³ + b³ = (a + b)(a² - ab + b²)
(73³ + 67³)/70 - 2*73*67 = (73 + 67)(73² - 73*67 + 67²)/70 - 2*73*67 = 140*(73² - 73*67 + 67²)/70 - 2*73*67 = 2*73² - 2*73*67 + 2*67² - 2*67*73 = 2*(73² - 2*73*67 + 67²) = 2*(73 - 67)² = 2*6² = 2*36 = 72