You can easily solve the problem of squares using this trick..

2. Squaring Tricks

3. Duplex - ?
• For a single digit number , the duplex is simply the
square of the number.
For example: Duplex of 2 is 4 and 6 is 36.
• For a 2-digit number, the duplex is simply twice the
product of the 2 digits of the number.
For example: The duplex of 16 is 2*1*6 = 12.
• For a 3-digit number, the duplex is 1st duplex of 1st and
last digit + duplex of middle digit.
For example: D(123) = 2*1*3 + 2*2 = 10.

4. Two Digit Squares
(AB)²
= D(A) | D(AB) | D(B)
LR approach

5. Example -
(23)² (23)² (23)²
= D(2) | ? | ? = 4 |D(23)|? = 5 | 2 | D(3)
= 4 | ? | ? = 4+1| 2 | ? = 5 | 2 | 9
= 5 | 2 | ? = 529

6. Three Digit Squares
(ABC)²
D(A) | D(AB) | D(ABC) | D(BC) | D(C)
LR approach

7. Example -
(123)² (123)² (123)²
=D(1) |?|?|?|? =1|D(12)|?|?|? =1|4|D(123)|?|?
=1 |?|?|?|? = 1| 4 |?|?|? =1|4+1|0|?|?
=1|5|0|?|?
(123)² (123)²
=1|5|0|D(23)|? =1|5|1|2|D(3)
=1|5|0+1|2|? =1|5|1|2|9
=1|5|1|2|? =15129

8. Another Trick -
Ex-1 (125)²
Step-1) 125-100 = 25
Step-2) Add 25 to 125 = 150
Step-3) Do square of 25 = 625
Step-4) Add 150
+00625
__________
15625

9. Ex-2 (105)²
Step-1) 105-100=5
Step-2) Add 5 to 105 = 110
Step-3) Do square of 5 = 25
Step-4) Add 110
+00025
________
11025

10. Thank You
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