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simplify 2x^2 × 3

Understand the Problem

The question is asking to simplify the expression 2x^2 × 3. This will involve multiplying the coefficients together and keeping the variable term as is.

Answer

$6x^2$
Answer for screen readers

The simplified expression is $6x^2$.

Steps to Solve

  1. Identify the coefficients and variables

In the expression $2x^2 \times 3$, the coefficient of $x^2$ is 2 and the other coefficient is 3. The variable part is $x^2$.

  1. Multiply the coefficients

Now, we will multiply the coefficients together:

$$ 2 \times 3 = 6 $$

  1. Combine the result with the variable term

Since the variable part $x^2$ remains unchanged during multiplication, we write the result as:

$$ 6x^2 $$

The simplified expression is $6x^2$.

More Information

This simplification is a basic operation in algebra, where simply multiplying coefficients is often done without affecting the variable terms.

Tips

  • Forgetting to keep the variable term unchanged when multiplying coefficients.
  • Mixing up the multiplication of coefficients with addition; remember to multiply rather than add.
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