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.
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