Question

Scrieti urmatoarele puteri ca suma de 2 cuburi: 9 la puterea 34; 35 la puterea 181; 91 la puterea 271; 28 la puterea 157; 65 la puterea 751

Answer 1

9^34=9 x 9^33=(2^3 +1) x (9^11)^3=(2 x 9^11)^3 + (9^11)^3

35^181=35 x 35^180= (2^3 +3^3)(35^60)^3=(2 x 35^60)^3 + (3 x 35^60)^3

91^271=91 x 91^270=(3^3 + 4^3)(91^90)^3=(3 x 91^90)^3 + (4 x 91^90)^3

28^157=28 x 28^156=(1+3^3)(28^52)^3=(28^52)^3 + (3 x 28^52)^3

65^751=65 x 65^750=(1+4^3)(65^250)^3=(65^250)^3 + (4 x 65^250)^3