Question

express 12^3 as the sum of odd numbers.​

Answer 1

Answer:

there are a lot and I mean a lot of ways to do that,

easiest would be the following,

12^3=1728

you could divide 1728 by 2 giving

864,

so 864 + 864=12^3

add 1 and subtract 1 to left hand side

(864–1) + (864+1) =12^3

863 + 865 =12^3

so there you have it.

P.S. my way of doing it

(Using ramanujan’s number, since I remember that everytime i hear 12^3 or any of the others)

12^3 +1^3 = 9^3 + 10^3

12^3 +1 = 729 +1000

12^3 = 729 + (1000–1)

12^3 = 729 + 999

and there you have it.

P.P.S. you can write it as sum of more than 2 odd numbers, though the number of

odd numbe