N is the middle integer of three consecutive positive integers. The three integers are multiplied to give a product.
n is then added to the product.
Prove that the result is a cube number.
n must be used in your proof.
Your final line must consist of only,
= n^3

Answer :

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

The last integer will be :-

The next Integer will be :-

Now the Question says that the three integers are multipled to give a product . So that would be.

Now thirdly it's given that n is added to the given integer . That would be ,

Here - n and +n gets cancelled. So we are ultimately left out with n³.

Hence the final number is a cube of some number.

where r the answers

step-by-step explanation: