Short cut to get product of two consecutive odd or even numbers


Short cut to get product of two consecutive odd or even numbers

If you are doing product of two consecutive odd or even numbers,  simply square the middle number and the subtract one form it.

Logic :   If (n+1) and (n-1) are two consecutive odd or even numbers then their product  is (n+1)(n-1) = n2-1

Examples

11 x 13 =  122 – 1 = 143

14 x 16 =  152 – 1 = 224

44 x 46 =  452 – 1 = 2024

24 x 26 =  252 – 1 = 624