Question

Scrieti numarul 35^37 ca suma de doua cuburi perfecte.

Answer 1

[tex]35^{37}=35\cdot 35^{36}=(2^3+3^3)\cdot35^{12\cdot3}=2^3\cdot(35^{12})^3+3^3\cdot(35^{12})^3=\\ =(2\cdot35^{12})^3+(3\cdot35^{12})^3[/tex]

Answer 2

$35^{37}=35*35^{36} \\ 35^{36}=(3^{12})^{3} \\ 35=8+27=2^{3}+3^{3} \\ deci: \\ 35^{37}=35*35^{36}=(8+27)*35^{36}=(2^{3}+3^{3})*(35^{12})^{3}= \\ 2^{3}*(35^{12})^{3}+3^{3}*(35^{12})^{3}= \\ (2*35^{12})^{3}+(3*35^{12})^{3}$