а) -8а⁵ + 8а³ - 2а = -2a(4a⁴ - 4a² +1) = -2а(2а² - 1)² = -2a(2a² - 1)(2a² - 1)
б) ac⁴ - c⁴ - 25ac² + 25c² = c⁴(a - 1) - 25c²(a - 1) = c²(a - 1)(c² - 25) = c²(a - 1)(c - 5)(c + 5)
в) x³ - 27y³ - 3y + x = (x - 3y)(x² + 3xy + 9y²) - (x - 3y) = (x - 3y)(x² + 3xy + 9y² - 1)
г) 16a² - b² - 8a + 1 = 16a² - 8a + 1 - b² = (4a - 1)² - b² = (4a - 1 - b)(4a - 1 + b)
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а) -8а⁵ + 8а³ - 2а = -2a(4a⁴ - 4a² +1) = -2а(2а² - 1)² = -2a(2a² - 1)(2a² - 1)
б) ac⁴ - c⁴ - 25ac² + 25c² = c⁴(a - 1) - 25c²(a - 1) = c²(a - 1)(c² - 25) = c²(a - 1)(c - 5)(c + 5)
в) x³ - 27y³ - 3y + x = (x - 3y)(x² + 3xy + 9y²) - (x - 3y) = (x - 3y)(x² + 3xy + 9y² - 1)
г) 16a² - b² - 8a + 1 = 16a² - 8a + 1 - b² = (4a - 1)² - b² = (4a - 1 - b)(4a - 1 + b)