Shortcut for finding Cubes

In our last posts we've discussed the method of finding Squares . In this post we shall discuss the method of finding cubes. This is very easy and simple method. You just have to put little concentration while learning and should do little practice so that you can do the process in a easy way mentally. And another thing you should keep in mind is, we are posting the step by stem inorder to make you understand the process in detail, but you SHOULD do most of these steps MENTALLY and only should put some important final results on paper. Now lets have a look at the method. In earlier method of finding squares we'd discussed finding the squares with the formula (a+b)²
, here we shall use the formula (a+b)³.

Lets start with an example. Assume that you should find out the cube of 18. The general process is multiplying 18 to itself for 2 times (18 x 18 x 18). This process is time consuming and often people end up with the wrong answer caused by confusion and hurry. 

Ok, now lets use our method. here you should use the formula  (a+b)³ 
= a³ +b³+
3a²b +3ab². But here you should be little tricky. Have a look.........

Note : Here a or b should contain 3 digits. Or else, just put zeroes to fill the gaps so that you can avoid confusion while doing additions. So, the calculation will look like this.....

Here, please note that you are placing 0s to avoid confusion and to fill the GAPS. If you have some 2 digit number (say 25)  instead of that 1 in the above example, you should write that as 025.

Some Points to Remember : 

• You should write a³  and b³ Side by side (no need to add them)
• You should start writing the 3a²b term exactly below from the
  a³  term.  
• The 3ab² term should end one number before the 
  b³ term.

Lets see another example,