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Алина123086
@Алина123086
August 2022
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Срочно ср42 в3!!!!!!!!
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Ellenochka
1. a) 1+d⁶ = 1 + (d²)³ = (1 + d²)(1 - d² + d⁴)
б) y⁹ - 27 = (y³)³ - 3³ = (y³-3)(y⁶ + 3y³ + 9)
в)
г) 8 - (x²-1)³ = 2³ - (x²-1)³ = (2 - (x²-1))(4 + 2(x²-1) + (x²-1)²)
2. 25⁶ - 12⁶ = (25² - 12²)·(25⁴ + 25² 12² + 12⁴) = (625 - 144)·(25⁴ + 25² 12² + 12⁴) =
481 ·
(25⁴ + 25² 12² + 12⁴)
3. 4⁶ⁿ⁺³ + 8 = 4⁽²ⁿ⁺¹⁾³ + 2³ = (4²ⁿ⁺¹ + 2)(4²⁽²ⁿ⁺¹⁾ - 2·(2²)²ⁿ⁺¹+ 4) = (4²ⁿ⁺¹ + 2)(4⁴ⁿ⁺² - 2⁶ⁿ⁺³+ 4)
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Answers & Comments
б) y⁹ - 27 = (y³)³ - 3³ = (y³-3)(y⁶ + 3y³ + 9)
в)
г) 8 - (x²-1)³ = 2³ - (x²-1)³ = (2 - (x²-1))(4 + 2(x²-1) + (x²-1)²)
2. 25⁶ - 12⁶ = (25² - 12²)·(25⁴ + 25² 12² + 12⁴) = (625 - 144)·(25⁴ + 25² 12² + 12⁴) = 481 · (25⁴ + 25² 12² + 12⁴)
3. 4⁶ⁿ⁺³ + 8 = 4⁽²ⁿ⁺¹⁾³ + 2³ = (4²ⁿ⁺¹ + 2)(4²⁽²ⁿ⁺¹⁾ - 2·(2²)²ⁿ⁺¹+ 4) = (4²ⁿ⁺¹ + 2)(4⁴ⁿ⁺² - 2⁶ⁿ⁺³+ 4)