Question

if A and B are odd prime numbers then show that a square + b square is a composite​

Answer 1

Step-by-step explanation:

let take two odd prime numbers =5 and 7

5square=25

7 square =49

25+49=74

74 is a composite number (proved)

Answer 2

Step-by-step explanation:

Step-by-step explanation:

The difference of any two odd numbers is even and also the sum of any two odd numbers is always even....

a^2-b^2=(a+b) (a-b)

And hence from the above explanation we can say that (a+b) &(a-b) are even numbers and are atleast divisible by 2

Therefore, 2is a factor of a^2 -b^2

And hence a^2-b^2 is a composite number