a) 16x² - 4 = 4(4x² - 1) = 4(2x - 1)(2x + 1)б) 75 - 27c² = 3(25 - 9c²) = 3(5 - 3c)(5 + 3c)в) 4x² - 16 = 4(x² - 4) = 4(x - 2)(x + 2)г) (3a + 10b)² = (3a + 10b)(3a + 10b) = 9a² + 30ab + 30ab + 100b² = 9a² + 60ab + 100b²д) (7l - 5m)² = (7l - 5m)(7l - 5m) = 49l² - 35lm - 35lm + 25m² = 49l² - 70lm + 25m²е) (2x + 1)³ = (2x + 1)(2x + 1)(2x + 1) = 4x² + 4x + 4x + 1 = 4x² + 8x + 1
a) 16x² - 4 = 4(4x² - 1) = 4(2x - 1)(2x + 1)
б) 75 - 27c² = 3(25 - 9c²) = 3(5 - 3c)(5 + 3c)
в) 4x² - 16 = 4(x² - 4) = 4(x - 2)(x + 2)
г) (3a + 10b)² = (3a + 10b)(3a + 10b) = 9a² + 30ab + 30ab + 100b² = 9a² + 60ab + 100b²
д) (7l - 5m)² = (7l - 5m)(7l - 5m) = 49l² - 35lm - 35lm + 25m² = 49l² - 70lm + 25m²
е) (2x + 1)³ = (2x + 1)(2x + 1)(2x + 1) = 4x² + 4x + 4x + 1 = 4x² + 8x + 1