Question

Find the sum of the given polynomials.

ax + by + c, 2ax - 3by + c, and by - c
a. 3ax - by + c
b. 3a + x - bc c. 3ax + by - cd
d. bx - 3bc + a

Answer 1

`3ax-by+c`

a is the correct option.

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.

Answer 2

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

a. 3ax - by + c