Question

If m and n are positive integers and m - n is an even number then m2 - n2 will be divisible by. ( step by step explanation)​

Answer 1

Answer:

answer is 4

Step-by-step explanation:

Note: In such type of questions assume any values which satisfy the question condition

(i) Let m = 3, n=1

m-n-3-1-2 (Even)

m²-n² = (3)²-(1)² = 8

(ii) Let m = 4, n = 2

m-n=4-2= 2 (Even)

m²-n² = 16-4 = 12

(iii) Let m = 5, n = 3

m-n= 5-3-2 (Even)

m²-n²=25-9 = 16

H.C.F. of 8, 12, 16 = 4

So, the number is divisible by 4