Squaring 14, 24, 34, ..., 94

To square a two digit number ending in 4; i.e. 14, 24, 34, ..., 94, first square the next number that is ending in 5 (as explained in "squaring a two digit number ending in 5"), and then subtract the number and the next number from it.


Example 1:

To square 14 (14^2):

14: the number
15: the next number
Based on "squaring a two digit number ending in 5", we know that 15^2 = 225. So:

14^2 = 225 - 14 - 15 = 196


Example 2:

To square 44 (44^2):


44: the number
45: the next number
Based on "squaring a two digit number ending in 5", we know that 45^2 = 2025. So:

44^2 = 2025 - 44 - 45 = 1936


Example 3:

To square 94 (94^2):


94: the number
95: the next number
Based on "squaring a two digit number ending in 5", we know that 95^2 = 9025. So:

94^2 = 9025 - 94 - 95 = 8836.