#### ANY TWO DIGIT NUMBER

With this method we can find cube of any two digit number.

We have to write the numbers in four places

- Write cube of first digit of the given number in the first place and cube of second digit of the given number in the last(4th) place
- Take square of first digit and multiply by the second digit and keep the result in the 2nd place
- Then take square of second digit and multiply by the first digit and keep the result in the 3rd place
- Double the 2nd and 3rd place numbers and add to 2nd and 3rd place numbers respectively
- Now add all the numbers to get the cube of the given number Let us take an example and understand this method.

- We find cube of 26

⇒ First write cube of 2 in the first place and cube of 6 in the last place

8 ( ) ( ) 216 - ⇒ Take square of 2 and multiply by 6 and keep the result in the 2nd place 2
^{2 }× 6 = 24

8 24 ( ) 216 - ⇒ Take square of 6 and multiply by 2 and keep the result in the 3rd place 6
^{2 }× 2 = 72

8 24 72 216 - ⇒ Now double the middle numbers and add

8 24 72 216

48 144

(9) (23) (21) ← Carry

17 5 7 6

∴ 26^{3 } = 17576