Math Problem Statement
(−x 2 −4x+1)−(2x 2 +9)
Solution
The expression is:
Let's simplify it step by step.
-
First, distribute the negative signs:
-
Combine like terms:
- The terms:
- The constant terms:
So, the simplified expression is:
Would you like further details or clarifications?
Here are some related questions:
- How would you factor a quadratic expression like this one?
- Can you solve ?
- What is the vertex of the quadratic function ?
- How do you find the axis of symmetry for a quadratic equation?
- What are the properties of parabolas when the coefficient of is negative?
Tip: When combining like terms, always ensure you are working with the same variable or constant values to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification of Polynomials
Combining Like Terms
Formulas
Distributive Property a(b + c) = ab + ac
Theorems
None specifically required for simplification, though combining like terms and the distributive property are key.
Suitable Grade Level
Grades 8-10
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