Mental Calculation of n^2 Base 100

n^2 = (n+(n-100))x100+(n-100)^2

From

n^2 = (n-100)^2 + 200n - 100^2 <<< (n^2 - 200n + 100^2) + 200n - 100^2

example

105^2 = ((105 + 5) x 100 = 11000) + ( 5 x 5 = 25) = 11025

107^2 = ((107 + 7) x 100 = 11400) + ( 7 x 7 = 49) = 11449

111^2 = ((111 + 11) x 100 = 12200) + (11 x 11 = 121) = 12321

97^2 = (( 97 - 3) x 100 = 9400) + (-3 x -3 = 9) = 9409