Q
QuestionMathematics

Which expressions are equivalent to 3(−2a−4)+ 3a? Choose all answers that apply: A. −6a−12 + 3a B. 3a+ 12 C. None of the above
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Distribute the 3 to the terms inside the parentheses

3(-2a-4) = 3(-2a) + 3(-4)
= - 6a - 12

Step 3:
: Add the 3a term to the result

-6a - 12 + 3a

Step 4:
: Combine like terms

-6a + 3a - 12
= - 3a - 12

Step 5:
: Analyze the given options

B. $$3a + 12
This is equivalent to our simplified expression - 3a - 12 ✓ Correct option This is NOT equivalent to our result ✗ Incorrect option C. None of the above ✗ Incorrect, since option A is correct

Final Answer

Option A (- 6a - 12 + 3a) is equivalent to 3(−2a−4)+ 3a.