Math Problem Statement
Which expression is equivalent to the given expression?
Solution
The given expression is:
We need to simplify this expression to find which of the provided options is equivalent. Let's break it down step by step.
- Factor the numerator and denominator of the fraction:
- The numerator can be factored as .
- The denominator is a difference of squares and factors as .
Thus, the expression becomes:
- Simplify the fraction: Cancel out one factor of in both the numerator and denominator:
- Get a common denominator to combine terms:
[ \frac{x - 3}{x
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Expressions
Factoring
Simplification
Formulas
Difference of squares: a^2 - b^2 = (a - b)(a + b)
Theorems
Factoring theorem
Simplification of rational expressions
Suitable Grade Level
Grades 9-11
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