[tex](a-1)(a^4+a^3+a^2+a+1)=a^5-1\\a^5+a^4+a^3+a^2+a-a^4-a^3-a^2-a-1=a^5-1\\a^5-1=a^5-1[/tex]
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[tex](a-1)(a^4+a^3+a^2+a+1)=a^5-1\\a^5+a^4+a^3+a^2+a-a^4-a^3-a^2-a-1=a^5-1\\a^5-1=a^5-1[/tex]