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A=3ridicat la puterea 32 - 3 la puterea 30 este cub perfect

Răspuns :

[tex] 3^{32}-3^{30} =3^{30}( 3^{2}-1)} =3^{30}* 2^{3} = (3^{10})^{3} * 2^{3}=(3^{10}*2) ^{3} [/tex]
A=3^32-3^30=3^30×(3^2+1)=3×30×2^3=(3^10)^3×2^3=(3^10×2)^3 => este cub perfect.