№1
(x-1)(x² - x + 1) = x³ - 1
Если x = 0,5, то x³ - 1 = 0,5³ - 1 = 0,125 - 1 = -0,875.
№2
а) 216 + n³ = 6³ + n³ = (6 + n)(36 - 6n + n²)
б) y³ - 27 = y³ - 3³ = (y - 3)(y² + 3y + 9)
в) 36a - a³ = a(36 - a²) = a(6² - a²) = a(6 - a)(6 + a)
г) m² + 2mn + n² = (m + n)²
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Answers & Comments
№1
(x-1)(x² - x + 1) = x³ - 1
Если x = 0,5, то x³ - 1 = 0,5³ - 1 = 0,125 - 1 = -0,875.
№2
а) 216 + n³ = 6³ + n³ = (6 + n)(36 - 6n + n²)
б) y³ - 27 = y³ - 3³ = (y - 3)(y² + 3y + 9)
в) 36a - a³ = a(36 - a²) = a(6² - a²) = a(6 - a)(6 + a)
г) m² + 2mn + n² = (m + n)²