General Method

Here is a generalized method which can be used to multiply any  two numbers. Suppose we need to multiply numbers A and B.

Let number A be a two digit number having digits a and b. therefore A = ab and B be a two digit number having digits c and d. therefore B = cd.

Short trick:

axc|(axd + bxc)|bxd

Note: Carry forward extra digits from right part to left part of short trick.

 

Example:

Lets Multiply 34 and 36

Here a =3, b = 4, c =3 and d=6.

Solution:

The product will be,

axc|(axd + bxc)|bxd
=3x3|3x6 + 4x3|4x6
=9|18+12|24
=9|30|24
=9|30 + 2|4         
(2 of 24 has been carried forward to left)
=9|32|4
=9+3|2|4            
  (2 of 22 has been carried forward to left)
=12|2|4
=1224