4 Teoremi T.n.p.

[Socratis T.n.p.]

===>a^2 + b^2 = [2 *a *b] + d^2
d=0) 9^2 + 9^2 = [2 *9 *9] + 0 = 162m^2
d=1) 9^2 +10^2= [2*9*10] + 1 = 181m^2
d=2) 9^2 +11^2= [2*9*11] + 4 = 202m^2
d=3) 9^2 +12^2= [2*9*11] + 9 = 225m^2

===> a^3 + b^3=(a+b)*[(a*b)+d^2]
d=0) 9^3 + 9^3 ==18 * [(9*9) + 00] = 18 * 81 = 1458m^3
d=1) 9^3 +10^3 = 19 * [(9*10) + 1] = 19 * 91 = 1729m^3
d=2) 9^3 + 11^3= 20 * [(9*11) + 4] = 20 *103 = 2060m^3
d=3) 9^3 +12^3 = 21 * [(9*12) + 9] = 21 *117 = 2457m^3


===>a^2 + b^2 + 3^2 = [3 * b^2] +2d^2
d=0) 9^2 + 9*2 + 9^2 = [3 * 9^2] + 0 = 243m^2
d=1) 9^2 +10^2+11^2= [3*10^2] + 2 = 302m^2
d=2) 9^2 +11^2+13^2= [3*11^2] + 8 = 371m^2
d=3) 9^2 +12^2+14^2= [3*12^2] +18= 450m^3

===>a^3 + b^3 + c^3 = 3b * [b^2+2d^2]
d=0) 9^3 + 9^3 + 9^3 = 27 * [ 9^2 + 0 ] = 27 * 81 = 2187m^3
d=1) 9^3 +10^3+11^3 = 30 * [10^2 + 2 ] = 30 *102= 3060m^3
d=2) 9^3 +11^3+13^3 = 33 * [11^2 + 8 ] = 33 * 129= 4257m^3
d=3) 9^3 +12^3+15^3 = 36 * [12^2 +18] = 36 * 162= 5832m^3

Saluti da Socratis T.n.p.
Roma.31.dic.2020.

[Socratis T.n.p.]

========>a^2 + b^2 = [2 * a * b ] + d^2
=≠===d=0) 9^2 + 9^2 = [ 2 *9 * 9 ] + 0 = 162m^2
=====d=1) 9^2 +10^2= [ 2*9 *10 ] + 1 = 181m^2
=====d=2) 9^2 +11^2= [ 2*9 *11 ] + 4 = 202m^2
=====d=3) 9^2 +12^2= [ 2*9 *11 ] + 9 = 225m^2

====> a^3 +b^3 =(a+b)*[a*b)+d^2]

d=0) 9^3 + 9^3 ==18 * [(9*9) +00] = 18 * 81 = 1458m^3
d=1) 9^3 +10^3 = 19 * [(9*10) +1] = 19 * 91 = 1729m^3
d=2) 9^3 + 11^3= 20 * [(9*11) +4] = 20 *103 = 2060m^3
d=3) 9^3 +12^3 = 21 * [(9*12) +9] = 21 *117 = 2457m^3

=========>a^2 + b^2 + 3^2 = [ 3 * b^2 ] +2d^2
======d=0) 9^2 + 9*2 + 9^2 = [ 3 * 9^2] + 0 = 243m^2
======d=1) 9^2 +10^2+11^2= [ 3*10^2] + 2 = 302m^2
======d=2) 9^2 +11^2+13^2= [ 3*11^2] + 8 = 371m^2
======d=3) 9^2 +12^2+14^2= [ 3*12^2] +18= 450m^3

=====>a^3 + b^3 + c^3 = 3b * [b^2+2d^2]

d=0) 9^3 + 9^3 ++ 9^3 = 27 * [ 9^2 + 0 ] = 27 * 81= 2187m^3
d=1) 9^3 +10^3+11^3 = 30 * [10^2 + 2 ] =30 *102= 3060m^3
d=2) 9^3 +11^3+13^3 = 33 * [11^2 + 8 ] = 33 * 129=4257m^3
d=3) 9^3 +12^3+15^3 = 36 * [12^2 +18] = 36 * 162=5832m^3

Socratis T.n.p.
31.dic.2020.