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
- 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 $x^2$.
- Multiply the coefficients
Now, we will multiply the coefficients together:
$$ 2 \times 3 = 6 $$
- 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.