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Multiplication of two numbers that differ by 2


Multiplication of two numbers that differ by 2

Note :This trick only works if you know the squares of numbers.

 
When two numbers differ by 2, their product is always the square of the number in between these numbers minus 1.

12 x 14 =   (13 x 13)  - 1 =  169 - 1 =  168

 


18 x 20 =   (19 x 19)  - 1 =  361 - 1 =  360
25 x 27 =   (26 x26)   - 1 =  676 - 1 =  675  
13 x 15 =   (14 x 14)  - 1 =  196 - 1 =  195



15 x 17 =   (16 x 16)  - 1 =  256 - 1 =  255
16 x 18 =   (17 x 17)  - 1 =  289 - 1 =  288
     



 

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