Answer:
is divisible by 
since 
and 
are also whole numbers.
is divisible by since and are also whole numbers.
Step-by-step explanation:
Let 
, 
whole number that are divisible by . Then, we have that 
and 
, which are also whole numbers. We proceed to prove that 
is divisible by :
1) , , , , , , 
Given
2) 
Compatibility with addition
3) 
Definition of division
4) 
Commutative and distributive properties
5) 
Commutative properties
6) 
Definition of division/Result
Therefore, is divisible by since and are also whole numbers.
We proceed to prove that is divisible by :
1) , , , , , , Given
2) 
Compatibility with multiplication
3) 
Compatibility with addition
4) 
Definition of division
5) ![e + d\cdot (-1) = b\cdot c^{-1} + [a\cdot (-1)]\cdot c^{-1}](https://tex.z-dn.net/?f=e%20%2B%20d%5Ccdot%20%28-1%29%20%3D%20b%5Ccdot%20c%5E%7B-1%7D%20%2B%20%5Ba%5Ccdot%20%28-1%29%5D%5Ccdot%20c%5E%7B-1%7D)
Associative and commutative properties
6) ![e + d\cdot (-1) = c^{-1}\cdot [b+a\cdot (-1)]](https://tex.z-dn.net/?f=e%20%2B%20d%5Ccdot%20%28-1%29%20%3D%20c%5E%7B-1%7D%5Ccdot%20%5Bb%2Ba%5Ccdot%20%28-1%29%5D)
Commutative and distributive properties.
7) ![e+d\cdot (-1) = [b+a\cdot (-1)]\cdot c^{-1}](https://tex.z-dn.net/?f=e%2Bd%5Ccdot%20%28-1%29%20%3D%20%5Bb%2Ba%5Ccdot%20%28-1%29%5D%5Ccdot%20c%5E%7B-1%7D)
Commutative properties.
8) 
Definition of division
9) 
/Definition of subtraction
Therefore, is divisible by since and are also whole numbers.
