Squaring trick for any 2 digit numbers

Find the square of  53

  this can be found using (a+b)² = a²  +2ab + b²

   a = 5;  b = 3

   (5+3) = 25 + 30 + 9 (using formula)

                 

                2   8   0    9

Ans = 2809

 write 9 as it , the next term 0 as it , now carry the 3 to 5 adding these two digits we get 8 then put 2 as it

  

now square of 65

  using the same formula

  a = 6; b = 5 

 ( 6+ 5) = 36 + 60 +  25

                3+1  6+6  0+2     

                  4        2     2   5    

here 5 is write as it , now carry 2 to 0 (0+2 = 2) write the 2

then carry the 6 to 6 ( 6+6= 12) write 2 along carry 1 to 3 (3+1=4)

got the answer as 4225

 sorry i would not explain it with images i will try to get pdf of this explanation with images