Salut!
Scrieti numărul 35³⁷ ca suma a doua cuburi perfecte.
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Rezolvare:
[tex] {35}^{37} = 35 \times {35}^{36} = ( {2}^{3} + {3}^{3} ) \times {35}^{12 \times 3} = {2}^{3} \times (35 ^{12} ) ^{3} + {3}^{3} \\ = (2 \times {35}^{12}) ^{3} + (3 \times 35^{12} )^{3} [/tex]