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1) ![(x^8-2)(x^4-1)-x^{12}+2x^4=x^{12}-x^8-2x^4+2-x^{12}+2x^4= (x^8-2)(x^4-1)-x^{12}+2x^4=x^{12}-x^8-2x^4+2-x^{12}+2x^4=](https://tex.z-dn.net/?f=%28x%5E8-2%29%28x%5E4-1%29-x%5E%7B12%7D%2B2x%5E4%3Dx%5E%7B12%7D-x%5E8-2x%5E4%2B2-x%5E%7B12%7D%2B2x%5E4%3D)
![-x^8+2 -x^8+2](https://tex.z-dn.net/?f=-x%5E8%2B2)
2)![a^9-9a^5-(a^4-9)(a^5+3)=a^9-9a^5-a^9-3a^4+9a^5+27= a^9-9a^5-(a^4-9)(a^5+3)=a^9-9a^5-a^9-3a^4+9a^5+27=](https://tex.z-dn.net/?f=a%5E9-9a%5E5-%28a%5E4-9%29%28a%5E5%2B3%29%3Da%5E9-9a%5E5-a%5E9-3a%5E4%2B9a%5E5%2B27%3D)
![-3a^4+27 -3a^4+27](https://tex.z-dn.net/?f=-3a%5E4%2B27)
3)![(x^{15}+5)(x^3+2)-10-x^{18}=x^{18}+2x^{15}+5x^3+10-10-x^{18}= (x^{15}+5)(x^3+2)-10-x^{18}=x^{18}+2x^{15}+5x^3+10-10-x^{18}=](https://tex.z-dn.net/?f=%28x%5E%7B15%7D%2B5%29%28x%5E3%2B2%29-10-x%5E%7B18%7D%3Dx%5E%7B18%7D%2B2x%5E%7B15%7D%2B5x%5E3%2B10-10-x%5E%7B18%7D%3D)
![2x^{15}+5x^3 2x^{15}+5x^3](https://tex.z-dn.net/?f=2x%5E%7B15%7D%2B5x%5E3)
4)![a^{42}-14a^7-(a^6-14)(a^7-1)=a^{42}-14a^7-a^{13}+a^6+14a^7-14= a^{42}-14a^7-(a^6-14)(a^7-1)=a^{42}-14a^7-a^{13}+a^6+14a^7-14=](https://tex.z-dn.net/?f=a%5E%7B42%7D-14a%5E7-%28a%5E6-14%29%28a%5E7-1%29%3Da%5E%7B42%7D-14a%5E7-a%5E%7B13%7D%2Ba%5E6%2B14a%5E7-14%3D)
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