Find the sum or difference. (3a - 3a^2) + (5 + 8a)

A: a^2 + 11a + 5

B: - 3a^2 + 11a + 5

C: 3a^2 + 11a + 5

D: - 3a^2 + 11a - 5

Answer: B. - 3a^2 + 11a + 5

1.) Remove parentheses.

3a-3a ^2 + 5+8a

2.) Collect Like Terms.

(3a+8a) - 3a^2+5

3.) Simplify.

11a - 3a^2+5

-3a^2 + 11a + 5

Answer: B = - 3a^2 + 11a + 5

For difference, the answer is

-3a^2 - 5a - 5

Step-by-step explanation:

(3a - 3a^2) + (5 + 8a)

To find the sum or difference, we will open the brackets.

To look for l the sum, we add

3a - 3a^2 + 5 + 8a

Collecting like terms,

= - 3a^2 + 8a + 3a + 5

= - 3a^2 + 11a + 5

Option B is the right answer.

To look for the difference, we subtract.

(3a - 3a^2) - (5 + 8a)

Opening the brackets

3a - 3a^2 - 5 - 8a

Collecting like terms

-3a^2 + 3a - 8a - 5

= - 3a^2 - 5a - 5

The options available corresponds only to what we got for the sum, so

-3a^2 + 11a + 5 is the answer