Simplify the following expression: (1 point)
2x − 6y + 3x2 + 7y − 14x.

3x2 + 12x + y

3x2 − 12x − y

3x2 − 12x + y

3x2 − 12x − 13y

Let's simplify the expression step by step:

Given expression:
\[ 2x - 6y + 3x^2 + 7y - 14x \]

1. Combine like terms:
   - For the \( x \)-terms: \( 2x - 14x = -12x \)
   - For the \( y \)-terms: \( -6y + 7y = y \)
   - The \( 3x^2 \) term stays as it is.

So, the simplified expression becomes:
\[ 3x^2 - 12x + y \]

Thus, the correct answer is:
**3x² − 12x + y**

Would you like further details or have any questions? 

Here are 5 related questions for deeper understanding:
1. How do you identify like terms in an algebraic expression?
2. What would the result be if we had \( -2x^2 \) instead of \( 3x^2 \)?
3. How would the expression change if there were no \( y \)-terms?
4. Can you simplify \( 5x + 3x^2 - x + 7x^2 - 2x \)?
5. What is the role of coefficients in simplifying expressions?

**Tip**: Always group like terms when simplifying expressions, which include terms with the same variable and exponent.

Simplify the following expression: 2x − 6y + 3x^2 + 7y − 14x.

Learn how to simplify the algebraic expression 2x − 6y + 3x^2 + 7y − 14x. This problem covers key concepts such as combining like terms and simplifying expressions, suitable for students in Grades 7-9.

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