AB + AB = AC

Question

WHAT IS THE PROOF FOR THIS EQUATION 

Answer 1

AB + AB = AC
 
Since we have not been given any values for
the variables, there is no way to prove this.
We can factor out the common variable A
 
A(B+B) = AC
B+B = C
2B = C  or   B = C/2
 

Alternatively you could have combined the like terms:

AB + AB = AC

2AB = AC

2B = C

B = C/2

 

The only thing we can say for sure is this statement

is true if and only if B=C/2

Without further information this is all you can determine