new squaring method

1. New Squaring Method
PIYUSH GOEL FORMULA AND TABLE FOR SQUARING
1.N2 =0 +(20N1 -19)N +(N -1)N
2.N2 =100 +(20N1 -19)N +(N -1)N
3.N2 =400 +(20N1 -19)N +(N -1)N
4.N2 =900 +(20N1 -19)N +(N -1)N
FOR EXAMPLE
1. 92 =0 +(20*1 -19)9 +(9 -1)9 ,Here N1 IS 1 from the above table, it lying in “0” and N is “9”
=0 +1*9 +8*9
=0 +9 +72 =81
2. 112 =100 +(20*2 -19)1 +(1 -1)1, Here N1 IS 2 from the above table, it lying in “100” and N is “1”from “11”
=100 +(40 -19)1 +0
=100 +21 =121
3. 122 =100 +(20*2 -19)2 +(2 -1)2, Here N1 IS 2 from the above table, it lying in “100” and N is “2” from “12”
=100 +21*2 + 2
=100 +42 + 2 =144
4. 222 =400 +(20*3 -19)2 +(2 -1)2, Here N1 IS 3 from the above table, it lying in “100” and N is “2” from “22”
=400 +(60 -19)2 +1*2
=400 +41*2 +1*2
=400 +82 +2 =484
0 100 400 900 1600 2500 3600 4900 6400 8100
0 10 20 30 40 50 60 70 80 90
N1 1 2 3 4 5 6 7 8 9 10