Squaring Numbers ending in 4

To square any number ending in 4; i.e. 14, 24, 34...94…124..., first square the next number that is ending in 5 (using the trick “squaring numbers ending in 5"), and then subtract the number and the next number from it.

For example: 64² =?

The number to be squared is 64 and the number next to it is 65. Finding square of 65 is quite simple as it ends in ‘5’. Based on "squaring numbers ending in 5", we know that 65² = 4225.

So, 64² = 65² - (64 + 65) = 4225 - 129 = 4096

To square 94:

The number next to 94 is 95.

Based on "squaring numbers ending in 5”; 95² = 9025.

So, 94² = 95² - (94 + 95) = 9025 - 189 = 8836

124² =?

124² = 125² - (124 + 125) = 15625 - 249 = 15376