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To Find the Cube of a two Digit Number (Alternative Method)

For your knowledge :

Let us find the cube of two digit number in the same way as  the square of the two digit number. We make use of the identity (a + b)3 = a3 + 3a2b + 3ab2 + b3.

Let  ‘a’ be the tens digit of the number and ‘b’ be the units digit of the number.

To cube the two digit number we make four columns for a3, 3a2b, 3ab2 and b3.

Consider the number 35. To find the cube of 35 we take a = 3 and b = 5.
 


Therefore 353 = 42875.
 

Example

Find the cube of 12 and 26.

Solution

Cube of 12

Take a = 1 and b = 2.

Therefore 123 = 1728.

Cube of 26

Take a = 2 and b = 6.

Therefore 263 = 17576.





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