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Question Number 174057 by AgniMath last updated on 23/Jul/22

Commented by dragan91 last updated on 23/Jul/22

$${\mathrm{x}}^7-\mathrm{x}+{\mathrm{x}}^2+\mathrm{x}+1=$$$$\mathrm{x}({\mathrm{x}}^6-1)+({\mathrm{x}}^2+\mathrm{x}+1)=$$$$\mathrm{x}({\mathrm{x}}^3-1)({\mathrm{x}}^3+1)+({\mathrm{x}}^2+\mathrm{x}+1)=$$$$\mathrm{x}(\mathrm{x}-1)({\mathrm{x}}^2+\mathrm{x}+1)({\mathrm{x}}^3+1)+({\mathrm{x}}^2+\mathrm{x}+1)=$$$$({\mathrm{x}}^2+\mathrm{x}+1)(({\mathrm{x}}^2-\mathrm{x})({\mathrm{x}}^3+1)+1)=$$$$({\mathrm{x}}^2+\mathrm{x}+1)({\mathrm{x}}^5-{\mathrm{x}}^4+{\mathrm{x}}^2-\mathrm{x}+1)$$

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