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cum se descomplune in factori a^4+2a^3+2a^2+a ?

Răspuns :

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