Question

If the product of an odd number odd integers is of the form 4n + 1, then

Answer 1

product of odd numbers  of form 4n + 1 is also of form 4n+1

Step-by-step explanation:

We need to  show that product of odd numbers  of form 4n + 1 is also of form 4n+1

Let say Two odd numbers

are  (4m + 1)  & (4k + 1) where m & k are integers

 (4m + 1)(4k + 1)

= 16mk + 4m + 4k  + 1

Taking 4 as common)

= 4(4mk + m + k)  + 1

4mk + m + k  will also be an integer as  m ,& k are integers

= 4n + 1

QED

Proved

product of odd numbers  of form 4n + 1 is also of form 4n+1

Learn more:

A perfect square number has four digits none of which is zero. The ...

https://brainly.in/question/9447785

(i) an odd number

https://brainly.in/question/7276500