Question

The sum of  a – b + 3 and 3a + 2b + 5 is 

(0.5 Points)

Answer 1

Answer:

The sum of $a-b+3$ and $3a+2b+5$ is $4a+b+8$.

Step-by-step explanation:

We have the two expressions,

$a-b+3$

and

$3a+2b+5$

We need to add these expressions. When we add these, the like terms must  add together. That is add the terms containing $a$, the terms containing $b$ and the constant terms separately.

$a-b+3+3a+2b+5=a+3a-b+2b+3+5\\\\=a+3a-b+2b+8=a(1+3)+b(-1+2)+8=4a+b+8$

So the sum is $4a+b+8$

Answer 2

Answer:

4a+1b+8 OR 4a+b+8

Step-by-step explanation:

sum means addition

so you need to add the first set with the other

a -b +3

3a+2b+5

= 4a+1b+8

if u do it in columnar method you should do it like this.

first you need to know

same signs means work in addition like plus,plus is plus minus,minus is plus but if signs are different work in minus like plus minus is minus, minus plus is plus.

see here, in the sum

the first column is +3,+5 is plus plus so add them. it is 3➕5= 8

the next column -b +2b which is +,- = -. so 2b-1b is 1b

the next column 1a+3a so 3+1= 4, so 4a.

TOTAL is 4a+1b+8 or 4a+b+8 as the answer.