Math Problem Statement
Which of the following simplifies to the same expression as 4x2−3x2+5x−24
?(1 point)
Responses
4x(x−6)
4 x left parenthesis x minus 6 right parenthesis
(x+8)(x−3)
left parenthesis x plus 8 right parenthesis left parenthesis x minus 3 right parenthesis
2(x−12)
2 left parenthesis x minus 12 right parenthesis
(x+6)(x−4)
Solution
The given expression is . Let's simplify this expression first:
- Simplify the terms: So, the expression simplifies to:
Now, we need to check which of the provided options simplifies to .
Option 1: This does not match .
Option 2: This matches the expression .
Option 3: This does not match .
Option 4: This does not match .
The correct answer is:
Do you want more details or have any questions?
Here are some related questions:
- How do you expand a binomial product?
- What is the process for factoring a quadratic expression?
- How do you simplify polynomial expressions?
- How can you verify if two expressions are equivalent?
- What are common techniques for factoring quadratics?
- How can errors occur when simplifying expressions?
- What are the steps to solve quadratic equations?
- What are the different forms of quadratic expressions?
Tip: Always simplify the expression first before comparing it to other options to identify the correct match.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Simplification
Quadratic Equations
Formulas
Quadratic equation formula ax^2 + bx + c = 0
Theorems
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Suitable Grade Level
Grades 7-9