8. Разложите на множители 1) x² - 25 2) 36m² - 100n² 3) (4 - y)² 4) 36a² + 24ab + 4b²

1) x² - 25 = x² - 5² = (x - 5)(x + 5) 2) 36m² - 100n² = (6m)² - (10n)² = (6m - 10n)(6m + 10n) = 4(3m - 5n)(3m + 5n) 3) (4 - y)² = (4 - y)(4 - y) 4) 36a² + 24ab + 4b² = (6a)² + 2 * 6a * 2b + (2b)² = (6a + 2b)² = (6a + 2b)(6a + 2b) = 4(3a+b)(3a+b) Ответ: 1) (x - 5)(x + 5) 2) (6m - 10n)(6m + 10n) = 4(3m - 5n)(3m + 5n) 3) (4 - y)(4 - y) 4) (6a + 2b)(6a + 2b) = 4(3a+b)(3a+b)