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simplify 3x * 2 * x

Understand the Problem

The question is asking to simplify the expression 3x * 2 * x. To solve this, we will multiply the coefficients and combine like terms.

Answer

The simplified expression is \( 6x^2 \).
Answer for screen readers

The final simplified expression is ( 6x^2 ).

Steps to Solve

  1. Identify the expression to simplify

The expression we need to simplify is given as $3x * 2 * x$.

  1. Multiply the coefficients together

First, we multiply the numeric coefficients: $$3 * 2 = 6$$

  1. Combine the like terms

Now, we combine the $x$ terms. Since $x * x = x^2$, we write it as: $$x * x = x^2$$

  1. Write the simplified expression

Putting it all together, we get: $$6 * x^2$$

Thus, the simplified expression is: $$6x^2$$

The final simplified expression is ( 6x^2 ).

More Information

The expression ( 6x^2 ) represents a quadratic term, which is common in algebra. It indicates that the variable ( x ) is raised to the second power and multiplied by 6.

Tips

  • Not combining like terms: Make sure to multiply all coefficients and correctly manage the exponents of the variables.
  • Confusing multiplication with addition: Remember that for terms like ( x * x ), you need to add the exponents.
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