Short cut cubing of any two digit number just in few seconds with help of algebraic identity

We can utilize following algebraic identity to easily find cube of any two digit number

A³ = (A - d) x A x (A + d) + d² x A

Where, d = any assumed value to easily compute cube.

Naturally, this formula works for any value of d, but we choose d to be the distance to a number close to A that is easy to multiply.
For example,

To find cube of the number 23,

Let, d = 3, A = 23

So,

A³ = (A - d) x A x (A + d) + d² x A

= (23 - 3) x 23 x (23 + 3) + (3)² x 23

= 20 x 23 x 26 + (3)² x 23

= 20 x 598 + 9 x 23

= 11960 + 207

= 12167