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Iog12
@Iog12
July 2022
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дам 50 балов; представте в виде многочленов
1) (3m-2n^2)^3
2) (3x-8y)^2
3) (3a^2 + 2c)^2
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zhenyaM2002
Verified answer
(3m - 2n²)³ = (3m)³ - 3(3m)² *2n² + 3*3m*(2n²)² - (2n²)³ =
= 27m³ - 6n² * 9m² + 9m * 4n⁴ - 8n⁶ =
= 27m³ - 54m²n² +36mn⁴ - 8n⁶
(3x - 8y)² = (3x)² - 2*3x*8y + (8y)² = 9x² - 48xy + 64y²
(3a² + 2c)² = (3a²)² + 2*3a²*2c + (2c)² = 9a⁴ + 12a²c + 4c²
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Answers & Comments
Verified answer
(3m - 2n²)³ = (3m)³ - 3(3m)² *2n² + 3*3m*(2n²)² - (2n²)³ == 27m³ - 6n² * 9m² + 9m * 4n⁴ - 8n⁶ =
= 27m³ - 54m²n² +36mn⁴ - 8n⁶
(3x - 8y)² = (3x)² - 2*3x*8y + (8y)² = 9x² - 48xy + 64y²
(3a² + 2c)² = (3a²)² + 2*3a²*2c + (2c)² = 9a⁴ + 12a²c + 4c²