Question

Verify using some non-zero positive integers and check by actual multiplication. Can you call theses as identities?

Hard
Solution
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To prove:

Consider the right hand side () and expand it as follows:

 

Hence proved.

Yes, we can call it as an identity: For example:
Let us take and in  then the and will be equal as shown below:

and 

Therefore,

Hence,  can be used as an identity.

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