номера 415 и 417 пожалуйста. Created by vadWIN. algebra-ru

номера 415 и 417 пожалуйста...

July 2022 1 8 Report

номера 415 и 417 пожалуйста

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nKrynka № 415
1) 43³ + 37³ = (43 + 37)(43² - 43*37 + 37²) = 80*(1849 - 1591 + 1369) =
= 80*1627 делится на 80
2) 79³ - 25³ = (79 - 35)(79² + 79*35 + 35²) = 44*(6241+ 2567 + 1225)=
= 44*1500625 делится на 44
№ 417
1) a³b⁶ - c³ = (ab²)³ - c³ = (ab² - c)(a²b⁴ + ab²c + c²)
2) 3ax³ - 3ay³ = 3a(x³ - y³= 3a(x - y)(x² + xy + y²0
3) 12am³ - 12an³) = 12a(m³ - n³) = 12a(m - n)(m² + mn + n²)
4) a⁶b³ + 27 = (ab)³ + 3³ = (ab + 3)(a²b² - 3ab + 9)
5) 1 - p⁹ = 1 - (p³)³ = (1 - p³)(1 + p³ + p⁶) = (1 - p)(1 + p + p²)(1 + p³ + p⁶)
6) 64x³y⁶ + 343a³ = (4xy²)³ + (7a)³ =(4xy² + 7a)(16x²y⁴ - 28axy² + 49a²)

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