Question

Represent the number $19$ as the difference between the cubes of natural numbers.

Answer 1

Number written as difference of cubes:

$19$ can be written as the difference of the numbers as given below.

$$\begin{gathered} \Rightarrow 19=27–8 \\ =\mathbf{}{\mathbf{3}}^{\mathbf{3}}\mathbf{}\mathbf{–}\mathbf{}{\mathbf{2}}^{\mathbf{3}} \end{gathered}$$

Hence,$19$ can be written as $3^3-2^3$