QQuestionMathematics
QuestionMathematics
Select the expression that is equivalent to 2(x−3) 2
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Answer
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Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Expand the expression using the distributive property
2(x-3) = 2x - 2(3)
• We need to multiply 2 by each term inside the parentheses (x−3) • This means multiplying 2 by x and 2 by −3
Step 3:: Simplify the second term
• $$2(x-3) = 2x - 6
• Multiply 2 by 3
Step 4:: Verify the result
• The expanded form $$2x - 6$$ is indeed equivalent to $$2(x-3)
• Check that the original expression and the simplified expression are equivalent
Final Answer
Key Insights: - When expanding 2(x- 3), multiply the 2 by each term inside the parentheses - The result simplifies to 2x - 6 - Always distribute the coefficient to each term inside the parentheses
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