QQuestionMathematics
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.
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