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9 October, 13:22

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

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Answers (2)
  1. 9 October, 13:30
    0
    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
  2. 9 October, 13:34
    0
    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
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