Question

Express each of the following as the sum of odd natural numbers.
${12}^3$

Answer 1

${12}^3$

$n=12$

$n-1=12-1=11$

$n(n-1)=12\times 11=132$

Therefore,

${12}^3=133+135+137+139+141+143+145+147+149+151+153+155$