Пошаговое объяснение:
a³ - b³ = (a - b)(a² + ab + b²)
128m⁹ - 2n³ = 2(64m⁹ - n³) =
2(4m³ - n)(16m⁶ + 4m³n + n²)
a² - b² = (a - b)(a + b)
(1 - z)² - 9 = (1 - z - 3)(1 - z + 3) = (-2 - z)(4 - z)
m⁵- m² + m - 1 = m²(m³ - 1) + m - 1 =
m²(m - 1)(m² + m + 1) + m - 1 =
(m - 1)(m² * (m² + m + 1) + 1) =
(m - 1)(m⁴ + m³ + m² + 1)
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Answers & Comments
Пошаговое объяснение:
a³ - b³ = (a - b)(a² + ab + b²)
128m⁹ - 2n³ = 2(64m⁹ - n³) =
2(4m³ - n)(16m⁶ + 4m³n + n²)
a² - b² = (a - b)(a + b)
(1 - z)² - 9 = (1 - z - 3)(1 - z + 3) = (-2 - z)(4 - z)
a³ - b³ = (a - b)(a² + ab + b²)
m⁵- m² + m - 1 = m²(m³ - 1) + m - 1 =
m²(m - 1)(m² + m + 1) + m - 1 =
(m - 1)(m² * (m² + m + 1) + 1) =
(m - 1)(m⁴ + m³ + m² + 1)