(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a - b)(a + b)
Решение:
(5a - 2)(5b + 2) = 5a*5b + 2 * 5a - 2*5b - 2*2 = 25ab + 10a + 10b - 4
(6x - 3)² = 36x² - 36x + 9
9b² - 36 = (3b - 6)(3b + 6)
(8m - 3)² - (8m - 1)(8m + 1) = (64m² - 48m + 9) - (64m² - 1) = 64m² - 48m + 9 - 64m² + 1 = -48m + 9 + 1 = -48m + 10
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Answers & Comments
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a - b)(a + b)
Решение:
(5a - 2)(5b + 2) = 5a*5b + 2 * 5a - 2*5b - 2*2 = 25ab + 10a + 10b - 4
(6x - 3)² = 36x² - 36x + 9
9b² - 36 = (3b - 6)(3b + 6)
(8m - 3)² - (8m - 1)(8m + 1) = (64m² - 48m + 9) - (64m² - 1) = 64m² - 48m + 9 - 64m² + 1 = -48m + 9 + 1 = -48m + 10