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Verified Answer :

Sum = ax + by + c + 2ax - 3by + c + by - c
Adding and cancelling the like terms
Sum = 3 
ax - by + c

a. 3ax - by + c

Answer:

\(3ax-by+c\)

a is the correct option.

Step-by-step explanation:

We have to find the sum of the polynomials ax + by + c, 2ax - 3by + c, and by - c .

Writing these polynomial in sum form

\(ax+by+c+2ax-3by+c+by-c\)

Group the like terms, we get

\((ax+2ax)+(by-3by+by)+(c+c-c)\)

Combine the like terms, we get

\(3ax-by+c\)

a is the correct option.