How to cube a number faser

The cube of a number is that number multiplied by itself twice. For example, 5 cubed - denoted as 5³; is equal to 5×5×5 = 125. The technique for cubing any 2-digit number discussed below is based on the algebraic observation. 

Step-1:       Write numbers in a row of 4 terms in such a way that the first one is the cube of the 1^st digit, second one is the square of 1^stnumber multiplied by 2^nddigit, third one is the 1^stdigit multiplied by square of 2^nd digit and the fourth one is the cube of the 2^nddigit.

Step-2:    Write twice the values of 2nd and 3rd terms under the terms respectively in second row.

Step-3:        Add all the values column-wise and follow the carry over process.

Example: 


!)Find Cube of 14.

Step-1                             :        1³       1²×4   1×4²   4³

Worked-out row               :        1        4        16      64

Step-2                             :                  8        32     

Step-3                             :        Add the values column wise.       

Ex (12)^3 =. 1 2 4 8
                         4 8




Total =1728

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