Răspuns: Ai demonstrația mai jos
[tex]\bf 5^{101} =5\cdot 5^{100} =[/tex]
[tex]\bf \big(1+4\big)\cdot5^{100} =[/tex]
[tex]\bf \big(1^2+2^2\big)\cdot\big(5^{50}\big)^2 =[/tex]
[tex]\bf \big(1\cdot5^{50}\big)^2 + \big(2\cdot5^{50}\big)^2 =[/tex]
[tex]\red{\boxed{~\bf \Big(5^{50}\Big)^2 + \Big(2\cdot5^{50}\Big)^2~}}[/tex]
