Question

Scrieti ca o suma de 2 patrate perfecte 29 la puterea 501 dau coroana

Answer 1

29^501=29·29^500
29=5^2+2^2=25+4

29^501=5^2·29^500+2^2·29^500
29^501=(5·29^250)^2+(2·29^250)^2

Answer 2

[tex]\it 29^{501} = 29\cdot29^{500}=(4+25)\cdot(29^{250})^2= (2^2+5^2)\cdot (29^{250})^2 = \it(2\cdot29^{250})^2 + (5\cdot29^{250})^2[/tex]