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по формуле куба разности
![(A-B)^3=A^3-3A^2B+3AB^2-B^3 (A-B)^3=A^3-3A^2B+3AB^2-B^3](https://tex.z-dn.net/?f=%28A-B%29%5E3%3DA%5E3-3A%5E2B%2B3AB%5E2-B%5E3)
и суммы кубов
![A^3+B^3=(A+B)(A^2-AB+B^2) A^3+B^3=(A+B)(A^2-AB+B^2)](https://tex.z-dn.net/?f=A%5E3%2BB%5E3%3D%28A%2BB%29%28A%5E2-AB%2BB%5E2%29)
получим
![a^3-3a^2+3a+26=(a^3-3a^2+3a-1)+27= a^3-3a^2+3a+26=(a^3-3a^2+3a-1)+27=](https://tex.z-dn.net/?f=a%5E3-3a%5E2%2B3a%2B26%3D%28a%5E3-3a%5E2%2B3a-1%29%2B27%3D)
![(a^3-3*a^2*1+3*a*1^2-1^3)+3^3= (a^3-3*a^2*1+3*a*1^2-1^3)+3^3=](https://tex.z-dn.net/?f=%28a%5E3-3%2Aa%5E2%2A1%2B3%2Aa%2A1%5E2-1%5E3%29%2B3%5E3%3D)
![(a-1)^3+3^3= (a-1)^3+3^3=](https://tex.z-dn.net/?f=%28a-1%29%5E3%2B3%5E3%3D)
![((a-1)+3)((a-1)^2-(a-1)*3+3^2)= ((a-1)+3)((a-1)^2-(a-1)*3+3^2)=](https://tex.z-dn.net/?f=%28%28a-1%29%2B3%29%28%28a-1%29%5E2-%28a-1%29%2A3%2B3%5E2%29%3D)
![(a-1+3)(a^2-2a+1-3a+3+9)= (a-1+3)(a^2-2a+1-3a+3+9)=](https://tex.z-dn.net/?f=%28a-1%2B3%29%28a%5E2-2a%2B1-3a%2B3%2B9%29%3D)
![(a+2)(a^2-5a+13) (a+2)(a^2-5a+13)](https://tex.z-dn.net/?f=%28a%2B2%29%28a%5E2-5a%2B13%29)
и суммы кубов
получим
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