QQuestionMathematics
QuestionMathematics
What is the difference between 3x and x^3? Explain with examples.
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Step 1:: Understand the difference between 3x and x³
- 3x is the product of 3 and x. It is also written as 3 multiplied by x or 3 times x. - x³ is x raised to the power of 3, also known as cubing x.
Step 2:: Demonstrate the difference with an example
- For 3x, let's use x = 4 as an example: - 3x = 3 * 4 = 12 - For x³, again using x = 4 as an example: - x³ = 4³ = 64
Step 3:: Explain the difference
- In the expression 3x, the coefficient 3 is being multiplied by the variable x. - In the expression x³, the variable x is being raised to the power of 3, which means multiplying x by itself three times.
Final Answer
- 3x and x³ are not the same. 3x is the product of 3 and x, while x³ is x raised to the power of 3. - For example, if x = 4, then 3 x = 12, and x³ = 64.
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