"Published in Suisun City, California, USA"
How do you cube a two digit number without using a calculator in a shorter way or faster? Is that possible? Yes, it is. I will show you the technique. Let's consider this one:
(23)3
By usual method,
2 3
x 2 3
---------------
1 6 9
4 6
---------------
1
2
5 2 9
x 2 3
---------------
1 5 8 7
1 0 5 8
---------------
1 2 1 6 7
Now, let's consider the better way. Cube each digits first and write this way:
Next, we need the next two terms at the middle. Let's consider the next steps.
Square the first digit and then multiply with the second digit and then multiply by 3. In this case, 3(2)2(3) = 36.
Square the second digit and then multiply with the first digit and then multiply by 3. In this case, 3(2)(3)2 = 54.
Therefore, the answer is 12167.