Math Problem Statement
Simplify the following expression: (1 point) 2x − 6y + 3x2 + 7y − 14x.
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Solution
Let's simplify the expression step by step:
Given expression:
- Combine like terms:
- For the -terms:
- For the -terms:
- The term stays as it is.
So, the simplified expression becomes:
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:
- How do you identify like terms in an algebraic expression?
- What would the result be if we had instead of ?
- How would the expression change if there were no -terms?
- Can you simplify ?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification of Expressions
Combining Like Terms
Formulas
Expression Simplification by Combining Like Terms
Theorems
No specific theorems used, just basic algebraic operations
Suitable Grade Level
Grades 7-9