Question

Prove: an odd number squared is an odd number

Answer 1

An odd number squared so let’s say 7 for example looks like this: 7^2. This just means 7x7. In elementary you learn the an odd number times an odd number is odd. This is the same. Therefore any odd number squared is an odd number.

Answer 2

Answer:

2(2n² + 2n) + 1

Step-by-step explanation:

(2n + 1)² can also written as

(2n + 1) × (2n + 1)

= 4n² + 2n + 2n + 1

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

= an odd

Hence Proved!

 

-TheUnknownScientist 72