Question

The difference of the squares of two consecutive even integers is divisible by which of the
following integers ?
a)3 b) 4c) 6d)7​

Answer 1

Answer:b)4

Step-by-step explanation:

let 2n &(2n+2) be consecutive even integers then

(2n+2)^2-(2n)^2=4+8n=4(1+2n)

this implies that difference of two consecutive even integer is multiple of 4.