Explicație pas cu pas:
[tex] \bf 29^{2017} =29 \cdot 29^{2016} = [/tex]
[tex] \bf \Big(25+4 \Big) \cdot 29^{2016} =\Big(5^{2}+2^{2}\Big) \cdot 29^{2016}= [/tex]
[tex] \bf 5^{2}\cdot 29^{2016}+ 2^{2} \cdot 29^{2016}= [/tex]
[tex]\bf 5^{2}\cdot \Big(29^{1008}\Big)^{2} + 2^{2} \cdot \Big(29^{1008}\Big)^{2} = [/tex]
[tex] \purple{ \boxed{ \: \bf \Big( 5\cdot 29^{1008}\Big)^{2} + \Big(2\cdot 29^{1008}\Big)^{2} \: }}[/tex]
