Square through Sqaures

A new formula is derived by Piyush Kumar Goyal known as “Square Through Squares”.

Formula is mention below:

N2 = [(N-2)th Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [(N-3)th Sq. on Y-Axis] * [(N-3)th Sq. on X-Axis]

 

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Let’s take some examples:

  1. Square of 5
52 = [(5-2)th Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [(5-3)th Sq. on Y-Axis] * [(5-3)th Sq. on X-Axis]

= [3rd Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [2nd Sq. on Y-Axis] * [2nd Sq. on X-Axis]

 

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52 = (3rd Sq. * 3rd Sq.) + (2nd Sq. * 2nd Sq.)

= 16 points + 9 points

= 25 points

 

2.Square of 4

 

 

42 = [(4-2)th Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [(4-3)th Sq. on Y-Axis] * [(4-3)th Sq. on X-Axis]

= [2nd Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [1st Sq. on Y-Axis] * [1st Sq. on X-Axis]

 

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42 = (2nd Sq. * 3rd Sq.) + (1st Sq. * 1st Sq.)

= 12 points + 4 points

= 16 points

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