Using the given example below we can find the square of a number lying between 75 to 100.
We can find 872 by using (a−b)2
872=(100−13)2=1002+132−2×100×13
=10000+169−2600
=7569
Or another shortcut method
872=
=100−87=13
=87−13/13×13
=74/169
=74+1/69
=75/69
=7569 answer